Finding the Third Proportional to 83,186 and 116,421

Step by Step Solution

1. Step 1: Write the proportion equation
   83,186 : 116,421 = 116,421 : x
2. Step 2: Convert to fraction form
   83,186/116,421 = 116,421/x
3. Step 3: Cross multiply
   83,186x = 116,421 × 116,421
4. Step 4: Simplify right side
   83,186x = 13,553,849,241
5. Step 5: Solve for x
   x = 13,553,849,241/83,186
6. Step 6: Final answer
   x = 162,934.26