Finding the Third Proportional to 152,980 and 335,510

Step by Step Solution

1. Step 1: Write the proportion equation
   152,980 : 335,510 = 335,510 : x
2. Step 2: Convert to fraction form
   152,980/335,510 = 335,510/x
3. Step 3: Cross multiply
   152,980x = 335,510 × 335,510
4. Step 4: Simplify right side
   152,980x = 112,566,960,100
5. Step 5: Solve for x
   x = 112,566,960,100/152,980
6. Step 6: Final answer
   x = 735,827.95