Finding the Third Proportional to 89,214 and 193,980

Step by Step Solution

1. Step 1: Write the proportion equation
   89,214 : 193,980 = 193,980 : x
2. Step 2: Convert to fraction form
   89,214/193,980 = 193,980/x
3. Step 3: Cross multiply
   89,214x = 193,980 × 193,980
4. Step 4: Simplify right side
   89,214x = 37,628,240,400
5. Step 5: Solve for x
   x = 37,628,240,400/89,214
6. Step 6: Final answer
   x = 421,775.06