Finding the Third Proportional to 76,648 and 168,200

Step by Step Solution

1. Step 1: Write the proportion equation
   76,648 : 168,200 = 168,200 : x
2. Step 2: Convert to fraction form
   76,648/168,200 = 168,200/x
3. Step 3: Cross multiply
   76,648x = 168,200 × 168,200
4. Step 4: Simplify right side
   76,648x = 28,291,240,000
5. Step 5: Solve for x
   x = 28,291,240,000/76,648
6. Step 6: Final answer
   x = 369,106.04