Finding the Third Proportional to 85,214 and 116,886

Step by Step Solution

1. Step 1: Write the proportion equation
   85,214 : 116,886 = 116,886 : x
2. Step 2: Convert to fraction form
   85,214/116,886 = 116,886/x
3. Step 3: Cross multiply
   85,214x = 116,886 × 116,886
4. Step 4: Simplify right side
   85,214x = 13,662,336,996
5. Step 5: Solve for x
   x = 13,662,336,996/85,214
6. Step 6: Final answer
   x = 160,329.72