Finding the Third Proportional to 150,468 and 336,584

Step by Step Solution

1. Step 1: Write the proportion equation
   150,468 : 336,584 = 336,584 : x
2. Step 2: Convert to fraction form
   150,468/336,584 = 336,584/x
3. Step 3: Cross multiply
   150,468x = 336,584 × 336,584
4. Step 4: Simplify right side
   150,468x = 113,288,789,056
5. Step 5: Solve for x
   x = 113,288,789,056/150,468
6. Step 6: Final answer
   x = 752,909.52