Finding the Third Proportional to 123,633 and 237,417.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,633 : 237,417.75 = 237,417.75 : x
2. Step 2: Convert to fraction form
   123,633/237,417.75 = 237,417.75/x
3. Step 3: Cross multiply
   123,633x = 237,417.75 × 237,417.75
4. Step 4: Simplify right side
   123,633x = 56,367,188,015.06
5. Step 5: Solve for x
   x = 56,367,188,015.06/123,633
6. Step 6: Final answer
   x = 455,923.48