Finding the Third Proportional to 42,307 and 100,228

Step by Step Solution

1. Step 1: Write the proportion equation
   42,307 : 100,228 = 100,228 : x
2. Step 2: Convert to fraction form
   42,307/100,228 = 100,228/x
3. Step 3: Cross multiply
   42,307x = 100,228 × 100,228
4. Step 4: Simplify right side
   42,307x = 10,045,651,984
5. Step 5: Solve for x
   x = 10,045,651,984/42,307
6. Step 6: Final answer
   x = 237,446.57