Finding the Third Proportional to 105,081 and 233,487

Step by Step Solution

1. Step 1: Write the proportion equation
   105,081 : 233,487 = 233,487 : x
2. Step 2: Convert to fraction form
   105,081/233,487 = 233,487/x
3. Step 3: Cross multiply
   105,081x = 233,487 × 233,487
4. Step 4: Simplify right side
   105,081x = 54,516,179,169
5. Step 5: Solve for x
   x = 54,516,179,169/105,081
6. Step 6: Final answer
   x = 518,801.49