Finding the Third Proportional to 82,830 and 117,092

Step by Step Solution

1. Step 1: Write the proportion equation
   82,830 : 117,092 = 117,092 : x
2. Step 2: Convert to fraction form
   82,830/117,092 = 117,092/x
3. Step 3: Cross multiply
   82,830x = 117,092 × 117,092
4. Step 4: Simplify right side
   82,830x = 13,710,536,464
5. Step 5: Solve for x
   x = 13,710,536,464/82,830
6. Step 6: Final answer
   x = 165,526.22