Finding the Third Proportional to 105,094 and 230,627

Step by Step Solution

1. Step 1: Write the proportion equation
   105,094 : 230,627 = 230,627 : x
2. Step 2: Convert to fraction form
   105,094/230,627 = 230,627/x
3. Step 3: Cross multiply
   105,094x = 230,627 × 230,627
4. Step 4: Simplify right side
   105,094x = 53,188,813,129
5. Step 5: Solve for x
   x = 53,188,813,129/105,094
6. Step 6: Final answer
   x = 506,107.04