Finding the Third Proportional to 47,596 and 88,144

Step by Step Solution

1. Step 1: Write the proportion equation
   47,596 : 88,144 = 88,144 : x
2. Step 2: Convert to fraction form
   47,596/88,144 = 88,144/x
3. Step 3: Cross multiply
   47,596x = 88,144 × 88,144
4. Step 4: Simplify right side
   47,596x = 7,769,364,736
5. Step 5: Solve for x
   x = 7,769,364,736/47,596
6. Step 6: Final answer
   x = 163,235.67