Finding the Third Proportional to 47,838 and 104,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,838 : 104,419.50 = 104,419.50 : x
2. Step 2: Convert to fraction form
   47,838/104,419.50 = 104,419.50/x
3. Step 3: Cross multiply
   47,838x = 104,419.50 × 104,419.50
4. Step 4: Simplify right side
   47,838x = 10,903,431,980.25
5. Step 5: Solve for x
   x = 10,903,431,980.25/47,838
6. Step 6: Final answer
   x = 227,924.08