Finding the Third Proportional to 90,201 and 194,856

Step by Step Solution

1. Step 1: Write the proportion equation
   90,201 : 194,856 = 194,856 : x
2. Step 2: Convert to fraction form
   90,201/194,856 = 194,856/x
3. Step 3: Cross multiply
   90,201x = 194,856 × 194,856
4. Step 4: Simplify right side
   90,201x = 37,968,860,736
5. Step 5: Solve for x
   x = 37,968,860,736/90,201
6. Step 6: Final answer
   x = 420,936.14