Finding the Third Proportional to 90,866 and 185,410

Step by Step Solution

1. Step 1: Write the proportion equation
   90,866 : 185,410 = 185,410 : x
2. Step 2: Convert to fraction form
   90,866/185,410 = 185,410/x
3. Step 3: Cross multiply
   90,866x = 185,410 × 185,410
4. Step 4: Simplify right side
   90,866x = 34,376,868,100
5. Step 5: Solve for x
   x = 34,376,868,100/90,866
6. Step 6: Final answer
   x = 378,324.88