Finding the Third Proportional to 82,810 and 117,063

Step by Step Solution

1. Step 1: Write the proportion equation
   82,810 : 117,063 = 117,063 : x
2. Step 2: Convert to fraction form
   82,810/117,063 = 117,063/x
3. Step 3: Cross multiply
   82,810x = 117,063 × 117,063
4. Step 4: Simplify right side
   82,810x = 13,703,745,969
5. Step 5: Solve for x
   x = 13,703,745,969/82,810
6. Step 6: Final answer
   x = 165,484.19