Finding the Third Proportional to 72,796.50 and 109,707.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,796.50 : 109,707.75 = 109,707.75 : x
2. Step 2: Convert to fraction form
   72,796.50/109,707.75 = 109,707.75/x
3. Step 3: Cross multiply
   72,796.50x = 109,707.75 × 109,707.75
4. Step 4: Simplify right side
   72,796.50x = 12,035,790,410.06
5. Step 5: Solve for x
   x = 12,035,790,410.06/72,796.50
6. Step 6: Final answer
   x = 165,334.74