Finding the Third Proportional to 58,666.50 and 123,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,666.50 : 123,787.50 = 123,787.50 : x
2. Step 2: Convert to fraction form
   58,666.50/123,787.50 = 123,787.50/x
3. Step 3: Cross multiply
   58,666.50x = 123,787.50 × 123,787.50
4. Step 4: Simplify right side
   58,666.50x = 15,323,345,156.25
5. Step 5: Solve for x
   x = 15,323,345,156.25/58,666.50
6. Step 6: Final answer
   x = 261,194.13