Finding the Third Proportional to 65,348 and 141,758

Step by Step Solution

1. Step 1: Write the proportion equation
   65,348 : 141,758 = 141,758 : x
2. Step 2: Convert to fraction form
   65,348/141,758 = 141,758/x
3. Step 3: Cross multiply
   65,348x = 141,758 × 141,758
4. Step 4: Simplify right side
   65,348x = 20,095,330,564
5. Step 5: Solve for x
   x = 20,095,330,564/65,348
6. Step 6: Final answer
   x = 307,512.56