Finding the Third Proportional to 86,312 and 116,614

Step by Step Solution

1. Step 1: Write the proportion equation
   86,312 : 116,614 = 116,614 : x
2. Step 2: Convert to fraction form
   86,312/116,614 = 116,614/x
3. Step 3: Cross multiply
   86,312x = 116,614 × 116,614
4. Step 4: Simplify right side
   86,312x = 13,598,824,996
5. Step 5: Solve for x
   x = 13,598,824,996/86,312
6. Step 6: Final answer
   x = 157,554.28