Finding the Third Proportional to 93,866 and 194,384

Step by Step Solution

1. Step 1: Write the proportion equation
   93,866 : 194,384 = 194,384 : x
2. Step 2: Convert to fraction form
   93,866/194,384 = 194,384/x
3. Step 3: Cross multiply
   93,866x = 194,384 × 194,384
4. Step 4: Simplify right side
   93,866x = 37,785,139,456
5. Step 5: Solve for x
   x = 37,785,139,456/93,866
6. Step 6: Final answer
   x = 402,543.41