Finding the Third Proportional to 85,818 and 116,150

Step by Step Solution

1. Step 1: Write the proportion equation
   85,818 : 116,150 = 116,150 : x
2. Step 2: Convert to fraction form
   85,818/116,150 = 116,150/x
3. Step 3: Cross multiply
   85,818x = 116,150 × 116,150
4. Step 4: Simplify right side
   85,818x = 13,490,822,500
5. Step 5: Solve for x
   x = 13,490,822,500/85,818
6. Step 6: Final answer
   x = 157,202.71