Finding the Third Proportional to 64,820 and 139,756

Step by Step Solution

1. Step 1: Write the proportion equation
   64,820 : 139,756 = 139,756 : x
2. Step 2: Convert to fraction form
   64,820/139,756 = 139,756/x
3. Step 3: Cross multiply
   64,820x = 139,756 × 139,756
4. Step 4: Simplify right side
   64,820x = 19,531,739,536
5. Step 5: Solve for x
   x = 19,531,739,536/64,820
6. Step 6: Final answer
   x = 301,322.73