Finding the Third Proportional to 151,777 and 333,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,777 : 333,078.50 = 333,078.50 : x
2. Step 2: Convert to fraction form
   151,777/333,078.50 = 333,078.50/x
3. Step 3: Cross multiply
   151,777x = 333,078.50 × 333,078.50
4. Step 4: Simplify right side
   151,777x = 110,941,287,162.25
5. Step 5: Solve for x
   x = 110,941,287,162.25/151,777
6. Step 6: Final answer
   x = 730,949.27