Finding the Third Proportional to 71,877.38 and 108,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,877.38 : 108,823.50 = 108,823.50 : x
2. Step 2: Convert to fraction form
   71,877.38/108,823.50 = 108,823.50/x
3. Step 3: Cross multiply
   71,877.38x = 108,823.50 × 108,823.50
4. Step 4: Simplify right side
   71,877.38x = 11,842,554,152.25
5. Step 5: Solve for x
   x = 11,842,554,152.25/71,877.38
6. Step 6: Final answer
   x = 164,760.53