Finding the Third Proportional to 42,291 and 100,188

Step by Step Solution

1. Step 1: Write the proportion equation
   42,291 : 100,188 = 100,188 : x
2. Step 2: Convert to fraction form
   42,291/100,188 = 100,188/x
3. Step 3: Cross multiply
   42,291x = 100,188 × 100,188
4. Step 4: Simplify right side
   42,291x = 10,037,635,344
5. Step 5: Solve for x
   x = 10,037,635,344/42,291
6. Step 6: Final answer
   x = 237,346.84