Finding the Third Proportional to 92,022.33 and 194,654.71

Step by Step Solution

1. Step 1: Write the proportion equation
   92,022.33 : 194,654.71 = 194,654.71 : x
2. Step 2: Convert to fraction form
   92,022.33/194,654.71 = 194,654.71/x
3. Step 3: Cross multiply
   92,022.33x = 194,654.71 × 194,654.71
4. Step 4: Simplify right side
   92,022.33x = 37,890,454,969.42
5. Step 5: Solve for x
   x = 37,890,454,969.42/92,022.33
6. Step 6: Final answer
   x = 411,752.84