Finding the Third Proportional to 65,298 and 141,396

Step by Step Solution

1. Step 1: Write the proportion equation
   65,298 : 141,396 = 141,396 : x
2. Step 2: Convert to fraction form
   65,298/141,396 = 141,396/x
3. Step 3: Cross multiply
   65,298x = 141,396 × 141,396
4. Step 4: Simplify right side
   65,298x = 19,992,828,816
5. Step 5: Solve for x
   x = 19,992,828,816/65,298
6. Step 6: Final answer
   x = 306,178.27