Finding the Third Proportional to 342,778.50 and 521,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   342,778.50 : 521,464.50 = 521,464.50 : x
2. Step 2: Convert to fraction form
   342,778.50/521,464.50 = 521,464.50/x
3. Step 3: Cross multiply
   342,778.50x = 521,464.50 × 521,464.50
4. Step 4: Simplify right side
   342,778.50x = 271,925,224,760.25
5. Step 5: Solve for x
   x = 271,925,224,760.25/342,778.50
6. Step 6: Final answer
   x = 793,297.20