Finding the Third Proportional to 64,434 and 141,944

Step by Step Solution

1. Step 1: Write the proportion equation
   64,434 : 141,944 = 141,944 : x
2. Step 2: Convert to fraction form
   64,434/141,944 = 141,944/x
3. Step 3: Cross multiply
   64,434x = 141,944 × 141,944
4. Step 4: Simplify right side
   64,434x = 20,148,099,136
5. Step 5: Solve for x
   x = 20,148,099,136/64,434
6. Step 6: Final answer
   x = 312,693.60