Finding the Third Proportional to 90,772 and 194,004

Step by Step Solution

1. Step 1: Write the proportion equation
   90,772 : 194,004 = 194,004 : x
2. Step 2: Convert to fraction form
   90,772/194,004 = 194,004/x
3. Step 3: Cross multiply
   90,772x = 194,004 × 194,004
4. Step 4: Simplify right side
   90,772x = 37,637,552,016
5. Step 5: Solve for x
   x = 37,637,552,016/90,772
6. Step 6: Final answer
   x = 414,638.35