Finding the Third Proportional to 295,218.75 and 469,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   295,218.75 : 469,978.88 = 469,978.88 : x
2. Step 2: Convert to fraction form
   295,218.75/469,978.88 = 469,978.88/x
3. Step 3: Cross multiply
   295,218.75x = 469,978.88 × 469,978.88
4. Step 4: Simplify right side
   295,218.75x = 220,880,142,946.27
5. Step 5: Solve for x
   x = 220,880,142,946.27/295,218.75
6. Step 6: Final answer
   x = 748,191.44