Finding the Third Proportional to 65,406 and 101,257

Step by Step Solution

1. Step 1: Write the proportion equation
   65,406 : 101,257 = 101,257 : x
2. Step 2: Convert to fraction form
   65,406/101,257 = 101,257/x
3. Step 3: Cross multiply
   65,406x = 101,257 × 101,257
4. Step 4: Simplify right side
   65,406x = 10,252,980,049
5. Step 5: Solve for x
   x = 10,252,980,049/65,406
6. Step 6: Final answer
   x = 156,759.01