Finding the Third Proportional to 64,231 and 142,229

Step by Step Solution

1. Step 1: Write the proportion equation
   64,231 : 142,229 = 142,229 : x
2. Step 2: Convert to fraction form
   64,231/142,229 = 142,229/x
3. Step 3: Cross multiply
   64,231x = 142,229 × 142,229
4. Step 4: Simplify right side
   64,231x = 20,229,088,441
5. Step 5: Solve for x
   x = 20,229,088,441/64,231
6. Step 6: Final answer
   x = 314,942.76