Finding the Third Proportional to 89,411 and 194,200

Step by Step Solution

1. Step 1: Write the proportion equation
   89,411 : 194,200 = 194,200 : x
2. Step 2: Convert to fraction form
   89,411/194,200 = 194,200/x
3. Step 3: Cross multiply
   89,411x = 194,200 × 194,200
4. Step 4: Simplify right side
   89,411x = 37,713,640,000
5. Step 5: Solve for x
   x = 37,713,640,000/89,411
6. Step 6: Final answer
   x = 421,800.90