Finding the Third Proportional to 73,882 and 117,008

Step by Step Solution

1. Step 1: Write the proportion equation
   73,882 : 117,008 = 117,008 : x
2. Step 2: Convert to fraction form
   73,882/117,008 = 117,008/x
3. Step 3: Cross multiply
   73,882x = 117,008 × 117,008
4. Step 4: Simplify right side
   73,882x = 13,690,872,064
5. Step 5: Solve for x
   x = 13,690,872,064/73,882
6. Step 6: Final answer
   x = 185,307.27