Finding the Third Proportional to 64,661 and 142,066

Step by Step Solution

1. Step 1: Write the proportion equation
   64,661 : 142,066 = 142,066 : x
2. Step 2: Convert to fraction form
   64,661/142,066 = 142,066/x
3. Step 3: Cross multiply
   64,661x = 142,066 × 142,066
4. Step 4: Simplify right side
   64,661x = 20,182,748,356
5. Step 5: Solve for x
   x = 20,182,748,356/64,661
6. Step 6: Final answer
   x = 312,131.71