Finding the Third Proportional to 83,921.63 and 182,599.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,921.63 : 182,599.88 = 182,599.88 : x
2. Step 2: Convert to fraction form
   83,921.63/182,599.88 = 182,599.88/x
3. Step 3: Cross multiply
   83,921.63x = 182,599.88 × 182,599.88
4. Step 4: Simplify right side
   83,921.63x = 33,342,714,350.02
5. Step 5: Solve for x
   x = 33,342,714,350.02/83,921.63
6. Step 6: Final answer
   x = 397,307.78