Finding the Third Proportional to 78,926 and 173,132

Step by Step Solution

1. Step 1: Write the proportion equation
   78,926 : 173,132 = 173,132 : x
2. Step 2: Convert to fraction form
   78,926/173,132 = 173,132/x
3. Step 3: Cross multiply
   78,926x = 173,132 × 173,132
4. Step 4: Simplify right side
   78,926x = 29,974,689,424
5. Step 5: Solve for x
   x = 29,974,689,424/78,926
6. Step 6: Final answer
   x = 379,782.19