Finding the Third Proportional to 51,880 and 101,168

Step by Step Solution

1. Step 1: Write the proportion equation
   51,880 : 101,168 = 101,168 : x
2. Step 2: Convert to fraction form
   51,880/101,168 = 101,168/x
3. Step 3: Cross multiply
   51,880x = 101,168 × 101,168
4. Step 4: Simplify right side
   51,880x = 10,234,964,224
5. Step 5: Solve for x
   x = 10,234,964,224/51,880
6. Step 6: Final answer
   x = 197,281.50