Finding the Third Proportional to 295,217.50 and 469,978

Step by Step Solution

1. Step 1: Write the proportion equation
   295,217.50 : 469,978 = 469,978 : x
2. Step 2: Convert to fraction form
   295,217.50/469,978 = 469,978/x
3. Step 3: Cross multiply
   295,217.50x = 469,978 × 469,978
4. Step 4: Simplify right side
   295,217.50x = 220,879,320,484
5. Step 5: Solve for x
   x = 220,879,320,484/295,217.50
6. Step 6: Final answer
   x = 748,191.83