Finding the Third Proportional to 78,020 and 173,562

Step by Step Solution

1. Step 1: Write the proportion equation
   78,020 : 173,562 = 173,562 : x
2. Step 2: Convert to fraction form
   78,020/173,562 = 173,562/x
3. Step 3: Cross multiply
   78,020x = 173,562 × 173,562
4. Step 4: Simplify right side
   78,020x = 30,123,767,844
5. Step 5: Solve for x
   x = 30,123,767,844/78,020
6. Step 6: Final answer
   x = 386,103.15