Finding the Third Proportional to 67,842 and 147,360

Step by Step Solution

1. Step 1: Write the proportion equation
   67,842 : 147,360 = 147,360 : x
2. Step 2: Convert to fraction form
   67,842/147,360 = 147,360/x
3. Step 3: Cross multiply
   67,842x = 147,360 × 147,360
4. Step 4: Simplify right side
   67,842x = 21,714,969,600
5. Step 5: Solve for x
   x = 21,714,969,600/67,842
6. Step 6: Final answer
   x = 320,081.51