Finding the Third Proportional to 91,820 and 194,664

Step by Step Solution

1. Step 1: Write the proportion equation
   91,820 : 194,664 = 194,664 : x
2. Step 2: Convert to fraction form
   91,820/194,664 = 194,664/x
3. Step 3: Cross multiply
   91,820x = 194,664 × 194,664
4. Step 4: Simplify right side
   91,820x = 37,894,072,896
5. Step 5: Solve for x
   x = 37,894,072,896/91,820
6. Step 6: Final answer
   x = 412,699.55