Finding the Third Proportional to 194,384 and 418,294

Step by Step Solution

1. Step 1: Write the proportion equation
   194,384 : 418,294 = 418,294 : x
2. Step 2: Convert to fraction form
   194,384/418,294 = 418,294/x
3. Step 3: Cross multiply
   194,384x = 418,294 × 418,294
4. Step 4: Simplify right side
   194,384x = 174,969,870,436
5. Step 5: Solve for x
   x = 174,969,870,436/194,384
6. Step 6: Final answer
   x = 900,124.86