Finding the Third Proportional to 57,126 and 123,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,126 : 123,787.50 = 123,787.50 : x
2. Step 2: Convert to fraction form
   57,126/123,787.50 = 123,787.50/x
3. Step 3: Cross multiply
   57,126x = 123,787.50 × 123,787.50
4. Step 4: Simplify right side
   57,126x = 15,323,345,156.25
5. Step 5: Solve for x
   x = 15,323,345,156.25/57,126
6. Step 6: Final answer
   x = 268,237.67