Finding the Third Proportional to 46,400 and 101,164

Step by Step Solution

1. Step 1: Write the proportion equation
   46,400 : 101,164 = 101,164 : x
2. Step 2: Convert to fraction form
   46,400/101,164 = 101,164/x
3. Step 3: Cross multiply
   46,400x = 101,164 × 101,164
4. Step 4: Simplify right side
   46,400x = 10,234,154,896
5. Step 5: Solve for x
   x = 10,234,154,896/46,400
6. Step 6: Final answer
   x = 220,563.68