Finding the Third Proportional to 89,220 and 194,856

Step by Step Solution

1. Step 1: Write the proportion equation
   89,220 : 194,856 = 194,856 : x
2. Step 2: Convert to fraction form
   89,220/194,856 = 194,856/x
3. Step 3: Cross multiply
   89,220x = 194,856 × 194,856
4. Step 4: Simplify right side
   89,220x = 37,968,860,736
5. Step 5: Solve for x
   x = 37,968,860,736/89,220
6. Step 6: Final answer
   x = 425,564.46