Finding the Third Proportional to 103,676 and 152,200

Step by Step Solution

1. Step 1: Write the proportion equation
   103,676 : 152,200 = 152,200 : x
2. Step 2: Convert to fraction form
   103,676/152,200 = 152,200/x
3. Step 3: Cross multiply
   103,676x = 152,200 × 152,200
4. Step 4: Simplify right side
   103,676x = 23,164,840,000
5. Step 5: Solve for x
   x = 23,164,840,000/103,676
6. Step 6: Final answer
   x = 223,434.93