Finding the Third Proportional to 127,542,178,116 and 274,012,025,976.02

Step by Step Solution

1. Step 1: Write the proportion equation
   127,542,178,116 : 274,012,025,976.02 = 274,012,025,976.02 : x
2. Step 2: Convert to fraction form
   127,542,178,116/274,012,025,976.02 = 274,012,025,976.02/x
3. Step 3: Cross multiply
   127,542,178,116x = 274,012,025,976.02 × 274,012,025,976.02
4. Step 4: Simplify right side
   127,542,178,116x = 75,082,590,379,483,053,686,784
5. Step 5: Solve for x
   x = 75,082,590,379,483,053,686,784/127,542,178,116
6. Step 6: Final answer
   x = 588,688,318,551.34