Finding the Third Proportional to 90,952 and 196,916

Step by Step Solution

1. Step 1: Write the proportion equation
   90,952 : 196,916 = 196,916 : x
2. Step 2: Convert to fraction form
   90,952/196,916 = 196,916/x
3. Step 3: Cross multiply
   90,952x = 196,916 × 196,916
4. Step 4: Simplify right side
   90,952x = 38,775,911,056
5. Step 5: Solve for x
   x = 38,775,911,056/90,952
6. Step 6: Final answer
   x = 426,333.79