Finding the Third Proportional to 105,660 and 234,945

Step by Step Solution

1. Step 1: Write the proportion equation
   105,660 : 234,945 = 234,945 : x
2. Step 2: Convert to fraction form
   105,660/234,945 = 234,945/x
3. Step 3: Cross multiply
   105,660x = 234,945 × 234,945
4. Step 4: Simplify right side
   105,660x = 55,199,153,025
5. Step 5: Solve for x
   x = 55,199,153,025/105,660
6. Step 6: Final answer
   x = 522,422.42