Finding the Third Proportional to 185,567 and 413,632

Step by Step Solution

1. Step 1: Write the proportion equation
   185,567 : 413,632 = 413,632 : x
2. Step 2: Convert to fraction form
   185,567/413,632 = 413,632/x
3. Step 3: Cross multiply
   185,567x = 413,632 × 413,632
4. Step 4: Simplify right side
   185,567x = 171,091,431,424
5. Step 5: Solve for x
   x = 171,091,431,424/185,567
6. Step 6: Final answer
   x = 921,992.77