Finding the Third Proportional to 83,481.47 and 185,648.63

Step by Step Solution

1. Step 1: Write the proportion equation
   83,481.47 : 185,648.63 = 185,648.63 : x
2. Step 2: Convert to fraction form
   83,481.47/185,648.63 = 185,648.63/x
3. Step 3: Cross multiply
   83,481.47x = 185,648.63 × 185,648.63
4. Step 4: Simplify right side
   83,481.47x = 34,465,411,964.39
5. Step 5: Solve for x
   x = 34,465,411,964.39/83,481.47
6. Step 6: Final answer
   x = 412,851.05