Finding the Third Proportional to 72,810 and 109,455

Step by Step Solution

1. Step 1: Write the proportion equation
   72,810 : 109,455 = 109,455 : x
2. Step 2: Convert to fraction form
   72,810/109,455 = 109,455/x
3. Step 3: Cross multiply
   72,810x = 109,455 × 109,455
4. Step 4: Simplify right side
   72,810x = 11,980,397,025
5. Step 5: Solve for x
   x = 11,980,397,025/72,810
6. Step 6: Final answer
   x = 164,543.29