Finding the Third Proportional to 433,422 and 575,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   433,422 : 575,257.50 = 575,257.50 : x
2. Step 2: Convert to fraction form
   433,422/575,257.50 = 575,257.50/x
3. Step 3: Cross multiply
   433,422x = 575,257.50 × 575,257.50
4. Step 4: Simplify right side
   433,422x = 330,921,191,306.25
5. Step 5: Solve for x
   x = 330,921,191,306.25/433,422
6. Step 6: Final answer
   x = 763,508.06