Finding the Third Proportional to 77,604.50 and 123,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,604.50 : 123,089.50 = 123,089.50 : x
2. Step 2: Convert to fraction form
   77,604.50/123,089.50 = 123,089.50/x
3. Step 3: Cross multiply
   77,604.50x = 123,089.50 × 123,089.50
4. Step 4: Simplify right side
   77,604.50x = 15,151,025,010.25
5. Step 5: Solve for x
   x = 15,151,025,010.25/77,604.50
6. Step 6: Final answer
   x = 195,233.85