Finding the Third Proportional to 85,895.25 and 129,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,895.25 : 129,784.50 = 129,784.50 : x
2. Step 2: Convert to fraction form
   85,895.25/129,784.50 = 129,784.50/x
3. Step 3: Cross multiply
   85,895.25x = 129,784.50 × 129,784.50
4. Step 4: Simplify right side
   85,895.25x = 16,844,016,440.25
5. Step 5: Solve for x
   x = 16,844,016,440.25/85,895.25
6. Step 6: Final answer
   x = 196,099.51