Finding the Third Proportional to 105,762 and 238,155

Step by Step Solution

1. Step 1: Write the proportion equation
   105,762 : 238,155 = 238,155 : x
2. Step 2: Convert to fraction form
   105,762/238,155 = 238,155/x
3. Step 3: Cross multiply
   105,762x = 238,155 × 238,155
4. Step 4: Simplify right side
   105,762x = 56,717,804,025
5. Step 5: Solve for x
   x = 56,717,804,025/105,762
6. Step 6: Final answer
   x = 536,277.72