Finding the Third Proportional to 83,521.50 and 182,117.63

Step by Step Solution

1. Step 1: Write the proportion equation
   83,521.50 : 182,117.63 = 182,117.63 : x
2. Step 2: Convert to fraction form
   83,521.50/182,117.63 = 182,117.63/x
3. Step 3: Cross multiply
   83,521.50x = 182,117.63 × 182,117.63
4. Step 4: Simplify right side
   83,521.50x = 33,166,829,335.64
5. Step 5: Solve for x
   x = 33,166,829,335.64/83,521.50
6. Step 6: Final answer
   x = 397,105.29