Finding the Third Proportional to 65,367 and 138,078

Step by Step Solution

1. Step 1: Write the proportion equation
   65,367 : 138,078 = 138,078 : x
2. Step 2: Convert to fraction form
   65,367/138,078 = 138,078/x
3. Step 3: Cross multiply
   65,367x = 138,078 × 138,078
4. Step 4: Simplify right side
   65,367x = 19,065,534,084
5. Step 5: Solve for x
   x = 19,065,534,084/65,367
6. Step 6: Final answer
   x = 291,669.10