Finding the Third Proportional to 140,683.50 and 290,731.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,683.50 : 290,731.50 = 290,731.50 : x
2. Step 2: Convert to fraction form
   140,683.50/290,731.50 = 290,731.50/x
3. Step 3: Cross multiply
   140,683.50x = 290,731.50 × 290,731.50
4. Step 4: Simplify right side
   140,683.50x = 84,524,805,092.25
5. Step 5: Solve for x
   x = 84,524,805,092.25/140,683.50
6. Step 6: Final answer
   x = 600,815.34