Finding the Third Proportional to 140,809.50 and 293,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,809.50 : 293,269.50 = 293,269.50 : x
2. Step 2: Convert to fraction form
   140,809.50/293,269.50 = 293,269.50/x
3. Step 3: Cross multiply
   140,809.50x = 293,269.50 × 293,269.50
4. Step 4: Simplify right side
   140,809.50x = 86,006,999,630.25
5. Step 5: Solve for x
   x = 86,006,999,630.25/140,809.50
6. Step 6: Final answer
   x = 610,803.96