Finding the Third Proportional to 205,980 and 311,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,980 : 311,875.50 = 311,875.50 : x
2. Step 2: Convert to fraction form
   205,980/311,875.50 = 311,875.50/x
3. Step 3: Cross multiply
   205,980x = 311,875.50 × 311,875.50
4. Step 4: Simplify right side
   205,980x = 97,266,327,500.25
5. Step 5: Solve for x
   x = 97,266,327,500.25/205,980
6. Step 6: Final answer
   x = 472,212.48