Finding the Third Proportional to 152,112 and 323,928

Step by Step Solution

1. Step 1: Write the proportion equation
   152,112 : 323,928 = 323,928 : x
2. Step 2: Convert to fraction form
   152,112/323,928 = 323,928/x
3. Step 3: Cross multiply
   152,112x = 323,928 × 323,928
4. Step 4: Simplify right side
   152,112x = 104,929,349,184
5. Step 5: Solve for x
   x = 104,929,349,184/152,112
6. Step 6: Final answer
   x = 689,816.38