Finding the Third Proportional to 71,500 and 108,788

Step by Step Solution

1. Step 1: Write the proportion equation
   71,500 : 108,788 = 108,788 : x
2. Step 2: Convert to fraction form
   71,500/108,788 = 108,788/x
3. Step 3: Cross multiply
   71,500x = 108,788 × 108,788
4. Step 4: Simplify right side
   71,500x = 11,834,828,944
5. Step 5: Solve for x
   x = 11,834,828,944/71,500
6. Step 6: Final answer
   x = 165,522.08