Finding the Third Proportional to 233,874 and 505,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,874 : 505,165.50 = 505,165.50 : x
2. Step 2: Convert to fraction form
   233,874/505,165.50 = 505,165.50/x
3. Step 3: Cross multiply
   233,874x = 505,165.50 × 505,165.50
4. Step 4: Simplify right side
   233,874x = 255,192,182,390.25
5. Step 5: Solve for x
   x = 255,192,182,390.25/233,874
6. Step 6: Final answer
   x = 1,091,152.43