Finding the Third Proportional to 90,199 and 194,699

Step by Step Solution

1. Step 1: Write the proportion equation
   90,199 : 194,699 = 194,699 : x
2. Step 2: Convert to fraction form
   90,199/194,699 = 194,699/x
3. Step 3: Cross multiply
   90,199x = 194,699 × 194,699
4. Step 4: Simplify right side
   90,199x = 37,907,700,601
5. Step 5: Solve for x
   x = 37,907,700,601/90,199
6. Step 6: Final answer
   x = 420,267.42