Finding the Third Proportional to 78,820 and 163,250

Step by Step Solution

1. Step 1: Write the proportion equation
   78,820 : 163,250 = 163,250 : x
2. Step 2: Convert to fraction form
   78,820/163,250 = 163,250/x
3. Step 3: Cross multiply
   78,820x = 163,250 × 163,250
4. Step 4: Simplify right side
   78,820x = 26,650,562,500
5. Step 5: Solve for x
   x = 26,650,562,500/78,820
6. Step 6: Final answer
   x = 338,119.29