Finding the Third Proportional to 105,764 and 232,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,764 : 232,456 = 232,456 : x
2. Step 2: Convert to fraction form
   105,764/232,456 = 232,456/x
3. Step 3: Cross multiply
   105,764x = 232,456 × 232,456
4. Step 4: Simplify right side
   105,764x = 54,035,791,936
5. Step 5: Solve for x
   x = 54,035,791,936/105,764
6. Step 6: Final answer
   x = 510,909.12