Finding the Third Proportional to 140,509 and 210,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,509 : 210,766.50 = 210,766.50 : x
2. Step 2: Convert to fraction form
   140,509/210,766.50 = 210,766.50/x
3. Step 3: Cross multiply
   140,509x = 210,766.50 × 210,766.50
4. Step 4: Simplify right side
   140,509x = 44,422,517,522.25
5. Step 5: Solve for x
   x = 44,422,517,522.25/140,509
6. Step 6: Final answer
   x = 316,154.25