Finding the Third Proportional to 64,644 and 137,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,644 : 137,113.50 = 137,113.50 : x
2. Step 2: Convert to fraction form
   64,644/137,113.50 = 137,113.50/x
3. Step 3: Cross multiply
   64,644x = 137,113.50 × 137,113.50
4. Step 4: Simplify right side
   64,644x = 18,800,111,882.25
5. Step 5: Solve for x
   x = 18,800,111,882.25/64,644
6. Step 6: Final answer
   x = 290,825.32