Finding the Third Proportional to 83,776 and 179,379

Step by Step Solution

1. Step 1: Write the proportion equation
   83,776 : 179,379 = 179,379 : x
2. Step 2: Convert to fraction form
   83,776/179,379 = 179,379/x
3. Step 3: Cross multiply
   83,776x = 179,379 × 179,379
4. Step 4: Simplify right side
   83,776x = 32,176,825,641
5. Step 5: Solve for x
   x = 32,176,825,641/83,776
6. Step 6: Final answer
   x = 384,081.67