Finding the Third Proportional to 90,206 and 194,850

Step by Step Solution

1. Step 1: Write the proportion equation
   90,206 : 194,850 = 194,850 : x
2. Step 2: Convert to fraction form
   90,206/194,850 = 194,850/x
3. Step 3: Cross multiply
   90,206x = 194,850 × 194,850
4. Step 4: Simplify right side
   90,206x = 37,966,522,500
5. Step 5: Solve for x
   x = 37,966,522,500/90,206
6. Step 6: Final answer
   x = 420,886.89