Finding the Third Proportional to 64,588 and 137,004

Step by Step Solution

1. Step 1: Write the proportion equation
   64,588 : 137,004 = 137,004 : x
2. Step 2: Convert to fraction form
   64,588/137,004 = 137,004/x
3. Step 3: Cross multiply
   64,588x = 137,004 × 137,004
4. Step 4: Simplify right side
   64,588x = 18,770,096,016
5. Step 5: Solve for x
   x = 18,770,096,016/64,588
6. Step 6: Final answer
   x = 290,612.75