Finding the Third Proportional to 83,092 and 116,592

Step by Step Solution

1. Step 1: Write the proportion equation
   83,092 : 116,592 = 116,592 : x
2. Step 2: Convert to fraction form
   83,092/116,592 = 116,592/x
3. Step 3: Cross multiply
   83,092x = 116,592 × 116,592
4. Step 4: Simplify right side
   83,092x = 13,593,694,464
5. Step 5: Solve for x
   x = 13,593,694,464/83,092
6. Step 6: Final answer
   x = 163,598.11