Finding the Third Proportional to 64,822 and 139,486

Step by Step Solution

1. Step 1: Write the proportion equation
   64,822 : 139,486 = 139,486 : x
2. Step 2: Convert to fraction form
   64,822/139,486 = 139,486/x
3. Step 3: Cross multiply
   64,822x = 139,486 × 139,486
4. Step 4: Simplify right side
   64,822x = 19,456,344,196
5. Step 5: Solve for x
   x = 19,456,344,196/64,822
6. Step 6: Final answer
   x = 300,150.32