Finding the Third Proportional to 147,177 and 233,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   147,177 : 233,142.75 = 233,142.75 : x
2. Step 2: Convert to fraction form
   147,177/233,142.75 = 233,142.75/x
3. Step 3: Cross multiply
   147,177x = 233,142.75 × 233,142.75
4. Step 4: Simplify right side
   147,177x = 54,355,541,877.56
5. Step 5: Solve for x
   x = 54,355,541,877.56/147,177
6. Step 6: Final answer
   x = 369,320.90