Finding the Third Proportional to 65,408 and 101,260

Step by Step Solution

1. Step 1: Write the proportion equation
   65,408 : 101,260 = 101,260 : x
2. Step 2: Convert to fraction form
   65,408/101,260 = 101,260/x
3. Step 3: Cross multiply
   65,408x = 101,260 × 101,260
4. Step 4: Simplify right side
   65,408x = 10,253,587,600
5. Step 5: Solve for x
   x = 10,253,587,600/65,408
6. Step 6: Final answer
   x = 156,763.51