Finding the Third Proportional to 78,996 and 168,840

Step by Step Solution

1. Step 1: Write the proportion equation
   78,996 : 168,840 = 168,840 : x
2. Step 2: Convert to fraction form
   78,996/168,840 = 168,840/x
3. Step 3: Cross multiply
   78,996x = 168,840 × 168,840
4. Step 4: Simplify right side
   78,996x = 28,506,945,600
5. Step 5: Solve for x
   x = 28,506,945,600/78,996
6. Step 6: Final answer
   x = 360,865.68