Finding the Third Proportional to 78,987 and 175,470

Step by Step Solution

1. Step 1: Write the proportion equation
   78,987 : 175,470 = 175,470 : x
2. Step 2: Convert to fraction form
   78,987/175,470 = 175,470/x
3. Step 3: Cross multiply
   78,987x = 175,470 × 175,470
4. Step 4: Simplify right side
   78,987x = 30,789,720,900
5. Step 5: Solve for x
   x = 30,789,720,900/78,987
6. Step 6: Final answer
   x = 389,807.45