Finding the Third Proportional to 105,627 and 234,871

Step by Step Solution

1. Step 1: Write the proportion equation
   105,627 : 234,871 = 234,871 : x
2. Step 2: Convert to fraction form
   105,627/234,871 = 234,871/x
3. Step 3: Cross multiply
   105,627x = 234,871 × 234,871
4. Step 4: Simplify right side
   105,627x = 55,164,386,641
5. Step 5: Solve for x
   x = 55,164,386,641/105,627
6. Step 6: Final answer
   x = 522,256.49