Finding the Third Proportional to 65,716 and 100,200

Step by Step Solution

1. Step 1: Write the proportion equation
   65,716 : 100,200 = 100,200 : x
2. Step 2: Convert to fraction form
   65,716/100,200 = 100,200/x
3. Step 3: Cross multiply
   65,716x = 100,200 × 100,200
4. Step 4: Simplify right side
   65,716x = 10,040,040,000
5. Step 5: Solve for x
   x = 10,040,040,000/65,716
6. Step 6: Final answer
   x = 152,779.23