Finding the Third Proportional to 298,593 and 456,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   298,593 : 456,565.50 = 456,565.50 : x
2. Step 2: Convert to fraction form
   298,593/456,565.50 = 456,565.50/x
3. Step 3: Cross multiply
   298,593x = 456,565.50 × 456,565.50
4. Step 4: Simplify right side
   298,593x = 208,452,055,790.25
5. Step 5: Solve for x
   x = 208,452,055,790.25/298,593
6. Step 6: Final answer
   x = 698,114.34