Finding the Third Proportional to 64,821 and 134,142

Step by Step Solution

1. Step 1: Write the proportion equation
   64,821 : 134,142 = 134,142 : x
2. Step 2: Convert to fraction form
   64,821/134,142 = 134,142/x
3. Step 3: Cross multiply
   64,821x = 134,142 × 134,142
4. Step 4: Simplify right side
   64,821x = 17,994,076,164
5. Step 5: Solve for x
   x = 17,994,076,164/64,821
6. Step 6: Final answer
   x = 277,596.40