Finding the Third Proportional to 83,463.75 and 185,587.88

Step by Step Solution

1. Step 1: Write the proportion equation
   83,463.75 : 185,587.88 = 185,587.88 : x
2. Step 2: Convert to fraction form
   83,463.75/185,587.88 = 185,587.88/x
3. Step 3: Cross multiply
   83,463.75x = 185,587.88 × 185,587.88
4. Step 4: Simplify right side
   83,463.75x = 34,442,859,347.02
5. Step 5: Solve for x
   x = 34,442,859,347.02/83,463.75
6. Step 6: Final answer
   x = 412,668.49