Finding the Third Proportional to 90,918 and 194,470

Step by Step Solution

1. Step 1: Write the proportion equation
   90,918 : 194,470 = 194,470 : x
2. Step 2: Convert to fraction form
   90,918/194,470 = 194,470/x
3. Step 3: Cross multiply
   90,918x = 194,470 × 194,470
4. Step 4: Simplify right side
   90,918x = 37,818,580,900
5. Step 5: Solve for x
   x = 37,818,580,900/90,918
6. Step 6: Final answer
   x = 415,963.63