Finding the Third Proportional to 83,026 and 116,502

Step by Step Solution

1. Step 1: Write the proportion equation
   83,026 : 116,502 = 116,502 : x
2. Step 2: Convert to fraction form
   83,026/116,502 = 116,502/x
3. Step 3: Cross multiply
   83,026x = 116,502 × 116,502
4. Step 4: Simplify right side
   83,026x = 13,572,716,004
5. Step 5: Solve for x
   x = 13,572,716,004/83,026
6. Step 6: Final answer
   x = 163,475.49