Finding the Third Proportional to 90,038 and 194,032

Step by Step Solution

1. Step 1: Write the proportion equation
   90,038 : 194,032 = 194,032 : x
2. Step 2: Convert to fraction form
   90,038/194,032 = 194,032/x
3. Step 3: Cross multiply
   90,038x = 194,032 × 194,032
4. Step 4: Simplify right side
   90,038x = 37,648,417,024
5. Step 5: Solve for x
   x = 37,648,417,024/90,038
6. Step 6: Final answer
   x = 418,139.20