Finding the Third Proportional to 49,115 and 100,297

Step by Step Solution

1. Step 1: Write the proportion equation
   49,115 : 100,297 = 100,297 : x
2. Step 2: Convert to fraction form
   49,115/100,297 = 100,297/x
3. Step 3: Cross multiply
   49,115x = 100,297 × 100,297
4. Step 4: Simplify right side
   49,115x = 10,059,488,209
5. Step 5: Solve for x
   x = 10,059,488,209/49,115
6. Step 6: Final answer
   x = 204,814.99