Finding the Third Proportional to 65,398 and 101,447

Step by Step Solution

1. Step 1: Write the proportion equation
   65,398 : 101,447 = 101,447 : x
2. Step 2: Convert to fraction form
   65,398/101,447 = 101,447/x
3. Step 3: Cross multiply
   65,398x = 101,447 × 101,447
4. Step 4: Simplify right side
   65,398x = 10,291,493,809
5. Step 5: Solve for x
   x = 10,291,493,809/65,398
6. Step 6: Final answer
   x = 157,367.10