Finding the Third Proportional to 47,196 and 103,143

Step by Step Solution

1. Step 1: Write the proportion equation
   47,196 : 103,143 = 103,143 : x
2. Step 2: Convert to fraction form
   47,196/103,143 = 103,143/x
3. Step 3: Cross multiply
   47,196x = 103,143 × 103,143
4. Step 4: Simplify right side
   47,196x = 10,638,478,449
5. Step 5: Solve for x
   x = 10,638,478,449/47,196
6. Step 6: Final answer
   x = 225,410.60