Finding the Third Proportional to 64,916 and 139,822

Step by Step Solution

1. Step 1: Write the proportion equation
   64,916 : 139,822 = 139,822 : x
2. Step 2: Convert to fraction form
   64,916/139,822 = 139,822/x
3. Step 3: Cross multiply
   64,916x = 139,822 × 139,822
4. Step 4: Simplify right side
   64,916x = 19,550,191,684
5. Step 5: Solve for x
   x = 19,550,191,684/64,916
6. Step 6: Final answer
   x = 301,161.37