Finding the Third Proportional to 86,311 and 116,613

Step by Step Solution

1. Step 1: Write the proportion equation
   86,311 : 116,613 = 116,613 : x
2. Step 2: Convert to fraction form
   86,311/116,613 = 116,613/x
3. Step 3: Cross multiply
   86,311x = 116,613 × 116,613
4. Step 4: Simplify right side
   86,311x = 13,598,591,769
5. Step 5: Solve for x
   x = 13,598,591,769/86,311
6. Step 6: Final answer
   x = 157,553.40