Finding the Third Proportional to 140,883 and 206,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,883 : 206,266.50 = 206,266.50 : x
2. Step 2: Convert to fraction form
   140,883/206,266.50 = 206,266.50/x
3. Step 3: Cross multiply
   140,883x = 206,266.50 × 206,266.50
4. Step 4: Simplify right side
   140,883x = 42,545,869,022.25
5. Step 5: Solve for x
   x = 42,545,869,022.25/140,883
6. Step 6: Final answer
   x = 301,994.34