Finding the Third Proportional to 83,920.50 and 182,597.63

Step by Step Solution

1. Step 1: Write the proportion equation
   83,920.50 : 182,597.63 = 182,597.63 : x
2. Step 2: Convert to fraction form
   83,920.50/182,597.63 = 182,597.63/x
3. Step 3: Cross multiply
   83,920.50x = 182,597.63 × 182,597.63
4. Step 4: Simplify right side
   83,920.50x = 33,341,892,655.64
5. Step 5: Solve for x
   x = 33,341,892,655.64/83,920.50
6. Step 6: Final answer
   x = 397,303.31