Finding the Third Proportional to 83,632 and 180,896

Step by Step Solution

1. Step 1: Write the proportion equation
   83,632 : 180,896 = 180,896 : x
2. Step 2: Convert to fraction form
   83,632/180,896 = 180,896/x
3. Step 3: Cross multiply
   83,632x = 180,896 × 180,896
4. Step 4: Simplify right side
   83,632x = 32,723,362,816
5. Step 5: Solve for x
   x = 32,723,362,816/83,632
6. Step 6: Final answer
   x = 391,278.01