Finding the Third Proportional to 83,438 and 173,779

Step by Step Solution

1. Step 1: Write the proportion equation
   83,438 : 173,779 = 173,779 : x
2. Step 2: Convert to fraction form
   83,438/173,779 = 173,779/x
3. Step 3: Cross multiply
   83,438x = 173,779 × 173,779
4. Step 4: Simplify right side
   83,438x = 30,199,140,841
5. Step 5: Solve for x
   x = 30,199,140,841/83,438
6. Step 6: Final answer
   x = 361,935.10