Finding the Third Proportional to 83,265.47 and 182,348.72

Step by Step Solution

1. Step 1: Write the proportion equation
   83,265.47 : 182,348.72 = 182,348.72 : x
2. Step 2: Convert to fraction form
   83,265.47/182,348.72 = 182,348.72/x
3. Step 3: Cross multiply
   83,265.47x = 182,348.72 × 182,348.72
4. Step 4: Simplify right side
   83,265.47x = 33,251,055,229.77
5. Step 5: Solve for x
   x = 33,251,055,229.77/83,265.47
6. Step 6: Final answer
   x = 399,337.87