Finding the Third Proportional to 133,084 and 194,662

Step by Step Solution

1. Step 1: Write the proportion equation
   133,084 : 194,662 = 194,662 : x
2. Step 2: Convert to fraction form
   133,084/194,662 = 194,662/x
3. Step 3: Cross multiply
   133,084x = 194,662 × 194,662
4. Step 4: Simplify right side
   133,084x = 37,893,294,244
5. Step 5: Solve for x
   x = 37,893,294,244/133,084
6. Step 6: Final answer
   x = 284,732.16