Finding the Third Proportional to 295,218 and 469,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,218 : 469,978.50 = 469,978.50 : x
2. Step 2: Convert to fraction form
   295,218/469,978.50 = 469,978.50/x
3. Step 3: Cross multiply
   295,218x = 469,978.50 × 469,978.50
4. Step 4: Simplify right side
   295,218x = 220,879,790,462.25
5. Step 5: Solve for x
   x = 220,879,790,462.25/295,218
6. Step 6: Final answer
   x = 748,192.15