Finding the Third Proportional to 194,847 and 264,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,847 : 264,046.50 = 264,046.50 : x
2. Step 2: Convert to fraction form
   194,847/264,046.50 = 264,046.50/x
3. Step 3: Cross multiply
   194,847x = 264,046.50 × 264,046.50
4. Step 4: Simplify right side
   194,847x = 69,720,554,162.25
5. Step 5: Solve for x
   x = 69,720,554,162.25/194,847
6. Step 6: Final answer
   x = 357,822.06