Finding the Third Proportional to 83,784 and 179,561

Step by Step Solution

1. Step 1: Write the proportion equation
   83,784 : 179,561 = 179,561 : x
2. Step 2: Convert to fraction form
   83,784/179,561 = 179,561/x
3. Step 3: Cross multiply
   83,784x = 179,561 × 179,561
4. Step 4: Simplify right side
   83,784x = 32,242,152,721
5. Step 5: Solve for x
   x = 32,242,152,721/83,784
6. Step 6: Final answer
   x = 384,824.70