Finding the Third Proportional to 65,976 and 102,200

Step by Step Solution

1. Step 1: Write the proportion equation
   65,976 : 102,200 = 102,200 : x
2. Step 2: Convert to fraction form
   65,976/102,200 = 102,200/x
3. Step 3: Cross multiply
   65,976x = 102,200 × 102,200
4. Step 4: Simplify right side
   65,976x = 10,444,840,000
5. Step 5: Solve for x
   x = 10,444,840,000/65,976
6. Step 6: Final answer
   x = 158,312.72