Finding the Third Proportional to 69,800 and 152,636

Step by Step Solution

1. Step 1: Write the proportion equation
   69,800 : 152,636 = 152,636 : x
2. Step 2: Convert to fraction form
   69,800/152,636 = 152,636/x
3. Step 3: Cross multiply
   69,800x = 152,636 × 152,636
4. Step 4: Simplify right side
   69,800x = 23,297,748,496
5. Step 5: Solve for x
   x = 23,297,748,496/69,800
6. Step 6: Final answer
   x = 333,778.63