Finding the Third Proportional to 152,049 and 323,781

Step by Step Solution

1. Step 1: Write the proportion equation
   152,049 : 323,781 = 323,781 : x
2. Step 2: Convert to fraction form
   152,049/323,781 = 323,781/x
3. Step 3: Cross multiply
   152,049x = 323,781 × 323,781
4. Step 4: Simplify right side
   152,049x = 104,834,135,961
5. Step 5: Solve for x
   x = 104,834,135,961/152,049
6. Step 6: Final answer
   x = 689,476.00