Finding the Third Proportional to 86,420 and 116,140

Step by Step Solution

1. Step 1: Write the proportion equation
   86,420 : 116,140 = 116,140 : x
2. Step 2: Convert to fraction form
   86,420/116,140 = 116,140/x
3. Step 3: Cross multiply
   86,420x = 116,140 × 116,140
4. Step 4: Simplify right side
   86,420x = 13,488,499,600
5. Step 5: Solve for x
   x = 13,488,499,600/86,420
6. Step 6: Final answer
   x = 156,080.76