Finding the Third Proportional to 40,564 and 87,164

Step by Step Solution

1. Step 1: Write the proportion equation
   40,564 : 87,164 = 87,164 : x
2. Step 2: Convert to fraction form
   40,564/87,164 = 87,164/x
3. Step 3: Cross multiply
   40,564x = 87,164 × 87,164
4. Step 4: Simplify right side
   40,564x = 7,597,562,896
5. Step 5: Solve for x
   x = 7,597,562,896/40,564
6. Step 6: Final answer
   x = 187,298.17