Finding the Third Proportional to 64,712 and 142,114

Step by Step Solution

1. Step 1: Write the proportion equation
   64,712 : 142,114 = 142,114 : x
2. Step 2: Convert to fraction form
   64,712/142,114 = 142,114/x
3. Step 3: Cross multiply
   64,712x = 142,114 × 142,114
4. Step 4: Simplify right side
   64,712x = 20,196,388,996
5. Step 5: Solve for x
   x = 20,196,388,996/64,712
6. Step 6: Final answer
   x = 312,096.50