Finding the Third Proportional to 83,584 and 179,588

Step by Step Solution

1. Step 1: Write the proportion equation
   83,584 : 179,588 = 179,588 : x
2. Step 2: Convert to fraction form
   83,584/179,588 = 179,588/x
3. Step 3: Cross multiply
   83,584x = 179,588 × 179,588
4. Step 4: Simplify right side
   83,584x = 32,251,849,744
5. Step 5: Solve for x
   x = 32,251,849,744/83,584
6. Step 6: Final answer
   x = 385,861.53