Finding the Third Proportional to 64,994 and 142,400

Step by Step Solution

1. Step 1: Write the proportion equation
   64,994 : 142,400 = 142,400 : x
2. Step 2: Convert to fraction form
   64,994/142,400 = 142,400/x
3. Step 3: Cross multiply
   64,994x = 142,400 × 142,400
4. Step 4: Simplify right side
   64,994x = 20,277,760,000
5. Step 5: Solve for x
   x = 20,277,760,000/64,994
6. Step 6: Final answer
   x = 311,994.34