Finding the Third Proportional to 64,647 and 137,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,647 : 137,119.50 = 137,119.50 : x
2. Step 2: Convert to fraction form
   64,647/137,119.50 = 137,119.50/x
3. Step 3: Cross multiply
   64,647x = 137,119.50 × 137,119.50
4. Step 4: Simplify right side
   64,647x = 18,801,757,280.25
5. Step 5: Solve for x
   x = 18,801,757,280.25/64,647
6. Step 6: Final answer
   x = 290,837.27