Finding the Third Proportional to 89,780 and 194,300

Step by Step Solution

1. Step 1: Write the proportion equation
   89,780 : 194,300 = 194,300 : x
2. Step 2: Convert to fraction form
   89,780/194,300 = 194,300/x
3. Step 3: Cross multiply
   89,780x = 194,300 × 194,300
4. Step 4: Simplify right side
   89,780x = 37,752,490,000
5. Step 5: Solve for x
   x = 37,752,490,000/89,780
6. Step 6: Final answer
   x = 420,500