Finding the Third Proportional to 105,138 and 233,604

Step by Step Solution

1. Step 1: Write the proportion equation
   105,138 : 233,604 = 233,604 : x
2. Step 2: Convert to fraction form
   105,138/233,604 = 233,604/x
3. Step 3: Cross multiply
   105,138x = 233,604 × 233,604
4. Step 4: Simplify right side
   105,138x = 54,570,828,816
5. Step 5: Solve for x
   x = 54,570,828,816/105,138
6. Step 6: Final answer
   x = 519,040.01