Finding the Third Proportional to 140,899.50 and 206,165.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,899.50 : 206,165.25 = 206,165.25 : x
2. Step 2: Convert to fraction form
   140,899.50/206,165.25 = 206,165.25/x
3. Step 3: Cross multiply
   140,899.50x = 206,165.25 × 206,165.25
4. Step 4: Simplify right side
   140,899.50x = 42,504,110,307.56
5. Step 5: Solve for x
   x = 42,504,110,307.56/140,899.50
6. Step 6: Final answer
   x = 301,662.61