Finding the Third Proportional to 140,077.50 and 299,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,077.50 : 299,839.50 = 299,839.50 : x
2. Step 2: Convert to fraction form
   140,077.50/299,839.50 = 299,839.50/x
3. Step 3: Cross multiply
   140,077.50x = 299,839.50 × 299,839.50
4. Step 4: Simplify right side
   140,077.50x = 89,903,725,760.25
5. Step 5: Solve for x
   x = 89,903,725,760.25/140,077.50
6. Step 6: Final answer
   x = 641,814.18