Finding the Third Proportional to 152,838 and 335,200

Step by Step Solution

1. Step 1: Write the proportion equation
   152,838 : 335,200 = 335,200 : x
2. Step 2: Convert to fraction form
   152,838/335,200 = 335,200/x
3. Step 3: Cross multiply
   152,838x = 335,200 × 335,200
4. Step 4: Simplify right side
   152,838x = 112,359,040,000
5. Step 5: Solve for x
   x = 112,359,040,000/152,838
6. Step 6: Final answer
   x = 735,151.21