Finding the Third Proportional to 64,710 and 142,428

Step by Step Solution

1. Step 1: Write the proportion equation
   64,710 : 142,428 = 142,428 : x
2. Step 2: Convert to fraction form
   64,710/142,428 = 142,428/x
3. Step 3: Cross multiply
   64,710x = 142,428 × 142,428
4. Step 4: Simplify right side
   64,710x = 20,285,735,184
5. Step 5: Solve for x
   x = 20,285,735,184/64,710
6. Step 6: Final answer
   x = 313,486.87