Finding the Third Proportional to 205,977 and 311,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,977 : 311,869.50 = 311,869.50 : x
2. Step 2: Convert to fraction form
   205,977/311,869.50 = 311,869.50/x
3. Step 3: Cross multiply
   205,977x = 311,869.50 × 311,869.50
4. Step 4: Simplify right side
   205,977x = 97,262,585,030.25
5. Step 5: Solve for x
   x = 97,262,585,030.25/205,977
6. Step 6: Final answer
   x = 472,201.19