Finding the Third Proportional to 77,742 and 123,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,742 : 123,763.50 = 123,763.50 : x
2. Step 2: Convert to fraction form
   77,742/123,763.50 = 123,763.50/x
3. Step 3: Cross multiply
   77,742x = 123,763.50 × 123,763.50
4. Step 4: Simplify right side
   77,742x = 15,317,403,932.25
5. Step 5: Solve for x
   x = 15,317,403,932.25/77,742
6. Step 6: Final answer
   x = 197,028.68