Finding the Third Proportional to 90,954 and 185,607

Step by Step Solution

1. Step 1: Write the proportion equation
   90,954 : 185,607 = 185,607 : x
2. Step 2: Convert to fraction form
   90,954/185,607 = 185,607/x
3. Step 3: Cross multiply
   90,954x = 185,607 × 185,607
4. Step 4: Simplify right side
   90,954x = 34,449,958,449
5. Step 5: Solve for x
   x = 34,449,958,449/90,954
6. Step 6: Final answer
   x = 378,762.43