Finding the Third Proportional to 90,654 and 194,431

Step by Step Solution

1. Step 1: Write the proportion equation
   90,654 : 194,431 = 194,431 : x
2. Step 2: Convert to fraction form
   90,654/194,431 = 194,431/x
3. Step 3: Cross multiply
   90,654x = 194,431 × 194,431
4. Step 4: Simplify right side
   90,654x = 37,803,413,761
5. Step 5: Solve for x
   x = 37,803,413,761/90,654
6. Step 6: Final answer
   x = 417,007.67