Finding the Third Proportional to 147,924 and 323,496

Step by Step Solution

1. Step 1: Write the proportion equation
   147,924 : 323,496 = 323,496 : x
2. Step 2: Convert to fraction form
   147,924/323,496 = 323,496/x
3. Step 3: Cross multiply
   147,924x = 323,496 × 323,496
4. Step 4: Simplify right side
   147,924x = 104,649,662,016
5. Step 5: Solve for x
   x = 104,649,662,016/147,924
6. Step 6: Final answer
   x = 707,455.60