Finding the Third Proportional to 64,329 and 137,886

Step by Step Solution

1. Step 1: Write the proportion equation
   64,329 : 137,886 = 137,886 : x
2. Step 2: Convert to fraction form
   64,329/137,886 = 137,886/x
3. Step 3: Cross multiply
   64,329x = 137,886 × 137,886
4. Step 4: Simplify right side
   64,329x = 19,012,548,996
5. Step 5: Solve for x
   x = 19,012,548,996/64,329
6. Step 6: Final answer
   x = 295,551.76