Finding the Third Proportional to 65,296 and 141,392

Step by Step Solution

1. Step 1: Write the proportion equation
   65,296 : 141,392 = 141,392 : x
2. Step 2: Convert to fraction form
   65,296/141,392 = 141,392/x
3. Step 3: Cross multiply
   65,296x = 141,392 × 141,392
4. Step 4: Simplify right side
   65,296x = 19,991,697,664
5. Step 5: Solve for x
   x = 19,991,697,664/65,296
6. Step 6: Final answer
   x = 306,170.33