Finding the Third Proportional to 178,362 and 277,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   178,362 : 277,384.50 = 277,384.50 : x
2. Step 2: Convert to fraction form
   178,362/277,384.50 = 277,384.50/x
3. Step 3: Cross multiply
   178,362x = 277,384.50 × 277,384.50
4. Step 4: Simplify right side
   178,362x = 76,942,160,840.25
5. Step 5: Solve for x
   x = 76,942,160,840.25/178,362
6. Step 6: Final answer
   x = 431,382.03