Finding the Third Proportional to 105,764 and 238,160

Step by Step Solution

1. Step 1: Write the proportion equation
   105,764 : 238,160 = 238,160 : x
2. Step 2: Convert to fraction form
   105,764/238,160 = 238,160/x
3. Step 3: Cross multiply
   105,764x = 238,160 × 238,160
4. Step 4: Simplify right side
   105,764x = 56,720,185,600
5. Step 5: Solve for x
   x = 56,720,185,600/105,764
6. Step 6: Final answer
   x = 536,290.09