Finding the Third Proportional to 152,478 and 334,404

Step by Step Solution

1. Step 1: Write the proportion equation
   152,478 : 334,404 = 334,404 : x
2. Step 2: Convert to fraction form
   152,478/334,404 = 334,404/x
3. Step 3: Cross multiply
   152,478x = 334,404 × 334,404
4. Step 4: Simplify right side
   152,478x = 111,826,035,216
5. Step 5: Solve for x
   x = 111,826,035,216/152,478
6. Step 6: Final answer
   x = 733,391.28