Finding the Third Proportional to 64,878 and 138,123

Step by Step Solution

1. Step 1: Write the proportion equation
   64,878 : 138,123 = 138,123 : x
2. Step 2: Convert to fraction form
   64,878/138,123 = 138,123/x
3. Step 3: Cross multiply
   64,878x = 138,123 × 138,123
4. Step 4: Simplify right side
   64,878x = 19,077,963,129
5. Step 5: Solve for x
   x = 19,077,963,129/64,878
6. Step 6: Final answer
   x = 294,059.05