Finding the Third Proportional to 64,600 and 139,384

Step by Step Solution

1. Step 1: Write the proportion equation
   64,600 : 139,384 = 139,384 : x
2. Step 2: Convert to fraction form
   64,600/139,384 = 139,384/x
3. Step 3: Cross multiply
   64,600x = 139,384 × 139,384
4. Step 4: Simplify right side
   64,600x = 19,427,899,456
5. Step 5: Solve for x
   x = 19,427,899,456/64,600
6. Step 6: Final answer
   x = 300,741.48