Finding the Third Proportional to 105,915 and 233,154

Step by Step Solution

1. Step 1: Write the proportion equation
   105,915 : 233,154 = 233,154 : x
2. Step 2: Convert to fraction form
   105,915/233,154 = 233,154/x
3. Step 3: Cross multiply
   105,915x = 233,154 × 233,154
4. Step 4: Simplify right side
   105,915x = 54,360,787,716
5. Step 5: Solve for x
   x = 54,360,787,716/105,915
6. Step 6: Final answer
   x = 513,249.19