Finding the Third Proportional to 77,565.75 and 111,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,565.75 : 111,835.50 = 111,835.50 : x
2. Step 2: Convert to fraction form
   77,565.75/111,835.50 = 111,835.50/x
3. Step 3: Cross multiply
   77,565.75x = 111,835.50 × 111,835.50
4. Step 4: Simplify right side
   77,565.75x = 12,507,179,060.25
5. Step 5: Solve for x
   x = 12,507,179,060.25/77,565.75
6. Step 6: Final answer
   x = 161,246.16