Finding the Third Proportional to 94,896 and 194,530

Step by Step Solution

1. Step 1: Write the proportion equation
   94,896 : 194,530 = 194,530 : x
2. Step 2: Convert to fraction form
   94,896/194,530 = 194,530/x
3. Step 3: Cross multiply
   94,896x = 194,530 × 194,530
4. Step 4: Simplify right side
   94,896x = 37,841,920,900
5. Step 5: Solve for x
   x = 37,841,920,900/94,896
6. Step 6: Final answer
   x = 398,772.56