Finding the Third Proportional to 64,822 and 142,316

Step by Step Solution

1. Step 1: Write the proportion equation
   64,822 : 142,316 = 142,316 : x
2. Step 2: Convert to fraction form
   64,822/142,316 = 142,316/x
3. Step 3: Cross multiply
   64,822x = 142,316 × 142,316
4. Step 4: Simplify right side
   64,822x = 20,253,843,856
5. Step 5: Solve for x
   x = 20,253,843,856/64,822
6. Step 6: Final answer
   x = 312,453.24