Finding the Third Proportional to 29,878 and 65,228

Step by Step Solution

1. Step 1: Write the proportion equation
   29,878 : 65,228 = 65,228 : x
2. Step 2: Convert to fraction form
   29,878/65,228 = 65,228/x
3. Step 3: Cross multiply
   29,878x = 65,228 × 65,228
4. Step 4: Simplify right side
   29,878x = 4,254,691,984
5. Step 5: Solve for x
   x = 4,254,691,984/29,878
6. Step 6: Final answer
   x = 142,402.17