Finding the Third Proportional to 86,309 and 116,610

Step by Step Solution

1. Step 1: Write the proportion equation
   86,309 : 116,610 = 116,610 : x
2. Step 2: Convert to fraction form
   86,309/116,610 = 116,610/x
3. Step 3: Cross multiply
   86,309x = 116,610 × 116,610
4. Step 4: Simplify right side
   86,309x = 13,597,892,100
5. Step 5: Solve for x
   x = 13,597,892,100/86,309
6. Step 6: Final answer
   x = 157,548.95