Finding the Third Proportional to 152,682 and 200,776

Step by Step Solution

1. Step 1: Write the proportion equation
   152,682 : 200,776 = 200,776 : x
2. Step 2: Convert to fraction form
   152,682/200,776 = 200,776/x
3. Step 3: Cross multiply
   152,682x = 200,776 × 200,776
4. Step 4: Simplify right side
   152,682x = 40,311,002,176
5. Step 5: Solve for x
   x = 40,311,002,176/152,682
6. Step 6: Final answer
   x = 264,019.35