Finding the Third Proportional to 152,034 and 323,752

Step by Step Solution

1. Step 1: Write the proportion equation
   152,034 : 323,752 = 323,752 : x
2. Step 2: Convert to fraction form
   152,034/323,752 = 323,752/x
3. Step 3: Cross multiply
   152,034x = 323,752 × 323,752
4. Step 4: Simplify right side
   152,034x = 104,815,357,504
5. Step 5: Solve for x
   x = 104,815,357,504/152,034
6. Step 6: Final answer
   x = 689,420.51