Finding the Third Proportional to 92,266 and 196,014

Step by Step Solution

1. Step 1: Write the proportion equation
   92,266 : 196,014 = 196,014 : x
2. Step 2: Convert to fraction form
   92,266/196,014 = 196,014/x
3. Step 3: Cross multiply
   92,266x = 196,014 × 196,014
4. Step 4: Simplify right side
   92,266x = 38,421,488,196
5. Step 5: Solve for x
   x = 38,421,488,196/92,266
6. Step 6: Final answer
   x = 416,420.87