Finding the Third Proportional to 83,023 and 116,499

Step by Step Solution

1. Step 1: Write the proportion equation
   83,023 : 116,499 = 116,499 : x
2. Step 2: Convert to fraction form
   83,023/116,499 = 116,499/x
3. Step 3: Cross multiply
   83,023x = 116,499 × 116,499
4. Step 4: Simplify right side
   83,023x = 13,572,017,001
5. Step 5: Solve for x
   x = 13,572,017,001/83,023
6. Step 6: Final answer
   x = 163,472.98