Finding the Third Proportional to 64,818 and 142,308

Step by Step Solution

1. Step 1: Write the proportion equation
   64,818 : 142,308 = 142,308 : x
2. Step 2: Convert to fraction form
   64,818/142,308 = 142,308/x
3. Step 3: Cross multiply
   64,818x = 142,308 × 142,308
4. Step 4: Simplify right side
   64,818x = 20,251,566,864
5. Step 5: Solve for x
   x = 20,251,566,864/64,818
6. Step 6: Final answer
   x = 312,437.39