Finding the Third Proportional to 105,123 and 233,574

Step by Step Solution

1. Step 1: Write the proportion equation
   105,123 : 233,574 = 233,574 : x
2. Step 2: Convert to fraction form
   105,123/233,574 = 233,574/x
3. Step 3: Cross multiply
   105,123x = 233,574 × 233,574
4. Step 4: Simplify right side
   105,123x = 54,556,813,476
5. Step 5: Solve for x
   x = 54,556,813,476/105,123
6. Step 6: Final answer
   x = 518,980.75