Finding the Third Proportional to 151,269.75 and 322,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,269.75 : 322,411.50 = 322,411.50 : x
2. Step 2: Convert to fraction form
   151,269.75/322,411.50 = 322,411.50/x
3. Step 3: Cross multiply
   151,269.75x = 322,411.50 × 322,411.50
4. Step 4: Simplify right side
   151,269.75x = 103,949,175,332.25
5. Step 5: Solve for x
   x = 103,949,175,332.25/151,269.75
6. Step 6: Final answer
   x = 687,177.54