Finding the Third Proportional to 72,820.50 and 109,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,820.50 : 109,743.75 = 109,743.75 : x
2. Step 2: Convert to fraction form
   72,820.50/109,743.75 = 109,743.75/x
3. Step 3: Cross multiply
   72,820.50x = 109,743.75 × 109,743.75
4. Step 4: Simplify right side
   72,820.50x = 12,043,690,664.06
5. Step 5: Solve for x
   x = 12,043,690,664.06/72,820.50
6. Step 6: Final answer
   x = 165,388.74