Finding the Third Proportional to 90,998 and 186,454

Step by Step Solution

1. Step 1: Write the proportion equation
   90,998 : 186,454 = 186,454 : x
2. Step 2: Convert to fraction form
   90,998/186,454 = 186,454/x
3. Step 3: Cross multiply
   90,998x = 186,454 × 186,454
4. Step 4: Simplify right side
   90,998x = 34,765,094,116
5. Step 5: Solve for x
   x = 34,765,094,116/90,998
6. Step 6: Final answer
   x = 382,042.40