Finding the Third Proportional to 71,857.50 and 108,780

Step by Step Solution

1. Step 1: Write the proportion equation
   71,857.50 : 108,780 = 108,780 : x
2. Step 2: Convert to fraction form
   71,857.50/108,780 = 108,780/x
3. Step 3: Cross multiply
   71,857.50x = 108,780 × 108,780
4. Step 4: Simplify right side
   71,857.50x = 11,833,088,400
5. Step 5: Solve for x
   x = 11,833,088,400/71,857.50
6. Step 6: Final answer
   x = 164,674.37