Finding the Third Proportional to 72,827.25 and 109,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,827.25 : 109,909.50 = 109,909.50 : x
2. Step 2: Convert to fraction form
   72,827.25/109,909.50 = 109,909.50/x
3. Step 3: Cross multiply
   72,827.25x = 109,909.50 × 109,909.50
4. Step 4: Simplify right side
   72,827.25x = 12,080,098,190.25
5. Step 5: Solve for x
   x = 12,080,098,190.25/72,827.25
6. Step 6: Final answer
   x = 165,873.33