Finding the Third Proportional to 90,958 and 185,616

Step by Step Solution

1. Step 1: Write the proportion equation
   90,958 : 185,616 = 185,616 : x
2. Step 2: Convert to fraction form
   90,958/185,616 = 185,616/x
3. Step 3: Cross multiply
   90,958x = 185,616 × 185,616
4. Step 4: Simplify right side
   90,958x = 34,453,299,456
5. Step 5: Solve for x
   x = 34,453,299,456/90,958
6. Step 6: Final answer
   x = 378,782.51