Finding the Third Proportional to 71,677 and 100,250

Step by Step Solution

1. Step 1: Write the proportion equation
   71,677 : 100,250 = 100,250 : x
2. Step 2: Convert to fraction form
   71,677/100,250 = 100,250/x
3. Step 3: Cross multiply
   71,677x = 100,250 × 100,250
4. Step 4: Simplify right side
   71,677x = 10,050,062,500
5. Step 5: Solve for x
   x = 10,050,062,500/71,677
6. Step 6: Final answer
   x = 140,213.21