Finding the Third Proportional to 72,807 and 109,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,807 : 109,723.50 = 109,723.50 : x
2. Step 2: Convert to fraction form
   72,807/109,723.50 = 109,723.50/x
3. Step 3: Cross multiply
   72,807x = 109,723.50 × 109,723.50
4. Step 4: Simplify right side
   72,807x = 12,039,246,452.25
5. Step 5: Solve for x
   x = 12,039,246,452.25/72,807
6. Step 6: Final answer
   x = 165,358.36