Finding the Third Proportional to 42,298 and 100,205

Step by Step Solution

1. Step 1: Write the proportion equation
   42,298 : 100,205 = 100,205 : x
2. Step 2: Convert to fraction form
   42,298/100,205 = 100,205/x
3. Step 3: Cross multiply
   42,298x = 100,205 × 100,205
4. Step 4: Simplify right side
   42,298x = 10,041,042,025
5. Step 5: Solve for x
   x = 10,041,042,025/42,298
6. Step 6: Final answer
   x = 237,388.10