Finding the Third Proportional to 81,650 and 117,007

Step by Step Solution

1. Step 1: Write the proportion equation
   81,650 : 117,007 = 117,007 : x
2. Step 2: Convert to fraction form
   81,650/117,007 = 117,007/x
3. Step 3: Cross multiply
   81,650x = 117,007 × 117,007
4. Step 4: Simplify right side
   81,650x = 13,690,638,049
5. Step 5: Solve for x
   x = 13,690,638,049/81,650
6. Step 6: Final answer
   x = 167,674.69