Finding the Third Proportional to 42,299 and 100,208

Step by Step Solution

1. Step 1: Write the proportion equation
   42,299 : 100,208 = 100,208 : x
2. Step 2: Convert to fraction form
   42,299/100,208 = 100,208/x
3. Step 3: Cross multiply
   42,299x = 100,208 × 100,208
4. Step 4: Simplify right side
   42,299x = 10,041,643,264
5. Step 5: Solve for x
   x = 10,041,643,264/42,299
6. Step 6: Final answer
   x = 237,396.71