Finding the Third Proportional to 91,807 and 194,549

Step by Step Solution

1. Step 1: Write the proportion equation
   91,807 : 194,549 = 194,549 : x
2. Step 2: Convert to fraction form
   91,807/194,549 = 194,549/x
3. Step 3: Cross multiply
   91,807x = 194,549 × 194,549
4. Step 4: Simplify right side
   91,807x = 37,849,313,401
5. Step 5: Solve for x
   x = 37,849,313,401/91,807
6. Step 6: Final answer
   x = 412,270.45