Finding the Third Proportional to 105,004 and 233,120

Step by Step Solution

1. Step 1: Write the proportion equation
   105,004 : 233,120 = 233,120 : x
2. Step 2: Convert to fraction form
   105,004/233,120 = 233,120/x
3. Step 3: Cross multiply
   105,004x = 233,120 × 233,120
4. Step 4: Simplify right side
   105,004x = 54,344,934,400
5. Step 5: Solve for x
   x = 54,344,934,400/105,004
6. Step 6: Final answer
   x = 517,551.09