Finding the Third Proportional to 83,766 and 179,664

Step by Step Solution

1. Step 1: Write the proportion equation
   83,766 : 179,664 = 179,664 : x
2. Step 2: Convert to fraction form
   83,766/179,664 = 179,664/x
3. Step 3: Cross multiply
   83,766x = 179,664 × 179,664
4. Step 4: Simplify right side
   83,766x = 32,279,152,896
5. Step 5: Solve for x
   x = 32,279,152,896/83,766
6. Step 6: Final answer
   x = 385,349.10