Finding the Third Proportional to 232,924 and 496,352

Step by Step Solution

1. Step 1: Write the proportion equation
   232,924 : 496,352 = 496,352 : x
2. Step 2: Convert to fraction form
   232,924/496,352 = 496,352/x
3. Step 3: Cross multiply
   232,924x = 496,352 × 496,352
4. Step 4: Simplify right side
   232,924x = 246,365,307,904
5. Step 5: Solve for x
   x = 246,365,307,904/232,924
6. Step 6: Final answer
   x = 1,057,706.84