Finding the Third Proportional to 140,166.50 and 298,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,166.50 : 298,683.50 = 298,683.50 : x
2. Step 2: Convert to fraction form
   140,166.50/298,683.50 = 298,683.50/x
3. Step 3: Cross multiply
   140,166.50x = 298,683.50 × 298,683.50
4. Step 4: Simplify right side
   140,166.50x = 89,211,833,172.25
5. Step 5: Solve for x
   x = 89,211,833,172.25/140,166.50
6. Step 6: Final answer
   x = 636,470.43