Finding the Third Proportional to 185,632 and 298,896

Step by Step Solution

1. Step 1: Write the proportion equation
   185,632 : 298,896 = 298,896 : x
2. Step 2: Convert to fraction form
   185,632/298,896 = 298,896/x
3. Step 3: Cross multiply
   185,632x = 298,896 × 298,896
4. Step 4: Simplify right side
   185,632x = 89,338,818,816
5. Step 5: Solve for x
   x = 89,338,818,816/185,632
6. Step 6: Final answer
   x = 481,268.42