Finding the Third Proportional to 105,316 and 233,960

Step by Step Solution

1. Step 1: Write the proportion equation
   105,316 : 233,960 = 233,960 : x
2. Step 2: Convert to fraction form
   105,316/233,960 = 233,960/x
3. Step 3: Cross multiply
   105,316x = 233,960 × 233,960
4. Step 4: Simplify right side
   105,316x = 54,737,281,600
5. Step 5: Solve for x
   x = 54,737,281,600/105,316
6. Step 6: Final answer
   x = 519,743.26