Finding the Third Proportional to 429,336 and 564,732

Step by Step Solution

1. Step 1: Write the proportion equation
   429,336 : 564,732 = 564,732 : x
2. Step 2: Convert to fraction form
   429,336/564,732 = 564,732/x
3. Step 3: Cross multiply
   429,336x = 564,732 × 564,732
4. Step 4: Simplify right side
   429,336x = 318,922,231,824
5. Step 5: Solve for x
   x = 318,922,231,824/429,336
6. Step 6: Final answer
   x = 742,826.67