Finding the Third Proportional to 38,158.50 and 77,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,158.50 : 77,356.50 = 77,356.50 : x
2. Step 2: Convert to fraction form
   38,158.50/77,356.50 = 77,356.50/x
3. Step 3: Cross multiply
   38,158.50x = 77,356.50 × 77,356.50
4. Step 4: Simplify right side
   38,158.50x = 5,984,028,092.25
5. Step 5: Solve for x
   x = 5,984,028,092.25/38,158.50
6. Step 6: Final answer
   x = 156,820.32