Finding the Third Proportional to 49,143 and 105,297

Step by Step Solution

1. Step 1: Write the proportion equation
   49,143 : 105,297 = 105,297 : x
2. Step 2: Convert to fraction form
   49,143/105,297 = 105,297/x
3. Step 3: Cross multiply
   49,143x = 105,297 × 105,297
4. Step 4: Simplify right side
   49,143x = 11,087,458,209
5. Step 5: Solve for x
   x = 11,087,458,209/49,143
6. Step 6: Final answer
   x = 225,616.23