Finding the Third Proportional to 71,238 and 105,759

Step by Step Solution

1. Step 1: Write the proportion equation
   71,238 : 105,759 = 105,759 : x
2. Step 2: Convert to fraction form
   71,238/105,759 = 105,759/x
3. Step 3: Cross multiply
   71,238x = 105,759 × 105,759
4. Step 4: Simplify right side
   71,238x = 11,184,966,081
5. Step 5: Solve for x
   x = 11,184,966,081/71,238
6. Step 6: Final answer
   x = 157,008.42