Finding the Third Proportional to 78,434 and 168,100

Step by Step Solution

1. Step 1: Write the proportion equation
   78,434 : 168,100 = 168,100 : x
2. Step 2: Convert to fraction form
   78,434/168,100 = 168,100/x
3. Step 3: Cross multiply
   78,434x = 168,100 × 168,100
4. Step 4: Simplify right side
   78,434x = 28,257,610,000
5. Step 5: Solve for x
   x = 28,257,610,000/78,434
6. Step 6: Final answer
   x = 360,272.46