Finding the Third Proportional to 78,930 and 173,412

Step by Step Solution

1. Step 1: Write the proportion equation
   78,930 : 173,412 = 173,412 : x
2. Step 2: Convert to fraction form
   78,930/173,412 = 173,412/x
3. Step 3: Cross multiply
   78,930x = 173,412 × 173,412
4. Step 4: Simplify right side
   78,930x = 30,071,721,744
5. Step 5: Solve for x
   x = 30,071,721,744/78,930
6. Step 6: Final answer
   x = 380,992.29