Finding the Third Proportional to 71,008 and 109,947

Step by Step Solution

1. Step 1: Write the proportion equation
   71,008 : 109,947 = 109,947 : x
2. Step 2: Convert to fraction form
   71,008/109,947 = 109,947/x
3. Step 3: Cross multiply
   71,008x = 109,947 × 109,947
4. Step 4: Simplify right side
   71,008x = 12,088,342,809
5. Step 5: Solve for x
   x = 12,088,342,809/71,008
6. Step 6: Final answer
   x = 170,239.17