Finding the Third Proportional to 49,575 and 103,254

Step by Step Solution

1. Step 1: Write the proportion equation
   49,575 : 103,254 = 103,254 : x
2. Step 2: Convert to fraction form
   49,575/103,254 = 103,254/x
3. Step 3: Cross multiply
   49,575x = 103,254 × 103,254
4. Step 4: Simplify right side
   49,575x = 10,661,388,516
5. Step 5: Solve for x
   x = 10,661,388,516/49,575
6. Step 6: Final answer
   x = 215,055.74