Finding the Third Proportional to 77,565.50 and 111,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,565.50 : 111,834.50 = 111,834.50 : x
2. Step 2: Convert to fraction form
   77,565.50/111,834.50 = 111,834.50/x
3. Step 3: Cross multiply
   77,565.50x = 111,834.50 × 111,834.50
4. Step 4: Simplify right side
   77,565.50x = 12,506,955,390.25
5. Step 5: Solve for x
   x = 12,506,955,390.25/77,565.50
6. Step 6: Final answer
   x = 161,243.79