Finding the Third Proportional to 72,591 and 109,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,591 : 109,309.50 = 109,309.50 : x
2. Step 2: Convert to fraction form
   72,591/109,309.50 = 109,309.50/x
3. Step 3: Cross multiply
   72,591x = 109,309.50 × 109,309.50
4. Step 4: Simplify right side
   72,591x = 11,948,566,790.25
5. Step 5: Solve for x
   x = 11,948,566,790.25/72,591
6. Step 6: Final answer
   x = 164,601.21