Finding the Third Proportional to 83,432 and 179,014

Step by Step Solution

1. Step 1: Write the proportion equation
   83,432 : 179,014 = 179,014 : x
2. Step 2: Convert to fraction form
   83,432/179,014 = 179,014/x
3. Step 3: Cross multiply
   83,432x = 179,014 × 179,014
4. Step 4: Simplify right side
   83,432x = 32,046,012,196
5. Step 5: Solve for x
   x = 32,046,012,196/83,432
6. Step 6: Final answer
   x = 384,097.38