Finding the Third Proportional to 64,980 and 139,761

Step by Step Solution

1. Step 1: Write the proportion equation
   64,980 : 139,761 = 139,761 : x
2. Step 2: Convert to fraction form
   64,980/139,761 = 139,761/x
3. Step 3: Cross multiply
   64,980x = 139,761 × 139,761
4. Step 4: Simplify right side
   64,980x = 19,533,137,121
5. Step 5: Solve for x
   x = 19,533,137,121/64,980
6. Step 6: Final answer
   x = 300,602.29