Finding the Third Proportional to 152,032 and 323,748

Step by Step Solution

1. Step 1: Write the proportion equation
   152,032 : 323,748 = 323,748 : x
2. Step 2: Convert to fraction form
   152,032/323,748 = 323,748/x
3. Step 3: Cross multiply
   152,032x = 323,748 × 323,748
4. Step 4: Simplify right side
   152,032x = 104,812,767,504
5. Step 5: Solve for x
   x = 104,812,767,504/152,032
6. Step 6: Final answer
   x = 689,412.54