Finding the Third Proportional to 90,898 and 194,430

Step by Step Solution

1. Step 1: Write the proportion equation
   90,898 : 194,430 = 194,430 : x
2. Step 2: Convert to fraction form
   90,898/194,430 = 194,430/x
3. Step 3: Cross multiply
   90,898x = 194,430 × 194,430
4. Step 4: Simplify right side
   90,898x = 37,803,024,900
5. Step 5: Solve for x
   x = 37,803,024,900/90,898
6. Step 6: Final answer
   x = 415,884.01