Finding the Third Proportional to 78,200 and 167,470

Step by Step Solution

1. Step 1: Write the proportion equation
   78,200 : 167,470 = 167,470 : x
2. Step 2: Convert to fraction form
   78,200/167,470 = 167,470/x
3. Step 3: Cross multiply
   78,200x = 167,470 × 167,470
4. Step 4: Simplify right side
   78,200x = 28,046,200,900
5. Step 5: Solve for x
   x = 28,046,200,900/78,200
6. Step 6: Final answer
   x = 358,647.07