Finding the Third Proportional to 47,878 and 101,808

Step by Step Solution

1. Step 1: Write the proportion equation
   47,878 : 101,808 = 101,808 : x
2. Step 2: Convert to fraction form
   47,878/101,808 = 101,808/x
3. Step 3: Cross multiply
   47,878x = 101,808 × 101,808
4. Step 4: Simplify right side
   47,878x = 10,364,868,864
5. Step 5: Solve for x
   x = 10,364,868,864/47,878
6. Step 6: Final answer
   x = 216,485.00