Finding the Third Proportional to 42,271 and 98,294

Step by Step Solution

1. Step 1: Write the proportion equation
   42,271 : 98,294 = 98,294 : x
2. Step 2: Convert to fraction form
   42,271/98,294 = 98,294/x
3. Step 3: Cross multiply
   42,271x = 98,294 × 98,294
4. Step 4: Simplify right side
   42,271x = 9,661,710,436
5. Step 5: Solve for x
   x = 9,661,710,436/42,271
6. Step 6: Final answer
   x = 228,565.93