Finding the Third Proportional to 429,233.25 and 664,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   429,233.25 : 664,327.50 = 664,327.50 : x
2. Step 2: Convert to fraction form
   429,233.25/664,327.50 = 664,327.50/x
3. Step 3: Cross multiply
   429,233.25x = 664,327.50 × 664,327.50
4. Step 4: Simplify right side
   429,233.25x = 441,331,027,256.25
5. Step 5: Solve for x
   x = 441,331,027,256.25/429,233.25
6. Step 6: Final answer
   x = 1,028,184.62