Finding the Third Proportional to 194,803.31 and 311,196.09

Step by Step Solution

1. Step 1: Write the proportion equation
   194,803.31 : 311,196.09 = 311,196.09 : x
2. Step 2: Convert to fraction form
   194,803.31/311,196.09 = 311,196.09/x
3. Step 3: Cross multiply
   194,803.31x = 311,196.09 × 311,196.09
4. Step 4: Simplify right side
   194,803.31x = 96,843,008,765.26
5. Step 5: Solve for x
   x = 96,843,008,765.26/194,803.31
6. Step 6: Final answer
   x = 497,132.25