Finding the Third Proportional to 294,045 and 432,456

Step by Step Solution

1. Step 1: Write the proportion equation
   294,045 : 432,456 = 432,456 : x
2. Step 2: Convert to fraction form
   294,045/432,456 = 432,456/x
3. Step 3: Cross multiply
   294,045x = 432,456 × 432,456
4. Step 4: Simplify right side
   294,045x = 187,018,191,936
5. Step 5: Solve for x
   x = 187,018,191,936/294,045
6. Step 6: Final answer
   x = 636,018.95