Finding the Third Proportional to 86,292 and 114,696

Step by Step Solution

1. Step 1: Write the proportion equation
   86,292 : 114,696 = 114,696 : x
2. Step 2: Convert to fraction form
   86,292/114,696 = 114,696/x
3. Step 3: Cross multiply
   86,292x = 114,696 × 114,696
4. Step 4: Simplify right side
   86,292x = 13,155,172,416
5. Step 5: Solve for x
   x = 13,155,172,416/86,292
6. Step 6: Final answer
   x = 152,449.50