Finding the Third Proportional to 152,839 and 335,202

Step by Step Solution

1. Step 1: Write the proportion equation
   152,839 : 335,202 = 335,202 : x
2. Step 2: Convert to fraction form
   152,839/335,202 = 335,202/x
3. Step 3: Cross multiply
   152,839x = 335,202 × 335,202
4. Step 4: Simplify right side
   152,839x = 112,360,380,804
5. Step 5: Solve for x
   x = 112,360,380,804/152,839
6. Step 6: Final answer
   x = 735,155.17