Finding the Third Proportional to 90,430 and 196,427

Step by Step Solution

1. Step 1: Write the proportion equation
   90,430 : 196,427 = 196,427 : x
2. Step 2: Convert to fraction form
   90,430/196,427 = 196,427/x
3. Step 3: Cross multiply
   90,430x = 196,427 × 196,427
4. Step 4: Simplify right side
   90,430x = 38,583,566,329
5. Step 5: Solve for x
   x = 38,583,566,329/90,430
6. Step 6: Final answer
   x = 426,667.77