Finding the Third Proportional to 64,389 and 142,602

Step by Step Solution

1. Step 1: Write the proportion equation
   64,389 : 142,602 = 142,602 : x
2. Step 2: Convert to fraction form
   64,389/142,602 = 142,602/x
3. Step 3: Cross multiply
   64,389x = 142,602 × 142,602
4. Step 4: Simplify right side
   64,389x = 20,335,330,404
5. Step 5: Solve for x
   x = 20,335,330,404/64,389
6. Step 6: Final answer
   x = 315,819.94