Finding the Third Proportional to 83,632 and 179,392

Step by Step Solution

1. Step 1: Write the proportion equation
   83,632 : 179,392 = 179,392 : x
2. Step 2: Convert to fraction form
   83,632/179,392 = 179,392/x
3. Step 3: Cross multiply
   83,632x = 179,392 × 179,392
4. Step 4: Simplify right side
   83,632x = 32,181,489,664
5. Step 5: Solve for x
   x = 32,181,489,664/83,632
6. Step 6: Final answer
   x = 384,798.76