Finding the Third Proportional to 90,899 and 186,205

Step by Step Solution

1. Step 1: Write the proportion equation
   90,899 : 186,205 = 186,205 : x
2. Step 2: Convert to fraction form
   90,899/186,205 = 186,205/x
3. Step 3: Cross multiply
   90,899x = 186,205 × 186,205
4. Step 4: Simplify right side
   90,899x = 34,672,302,025
5. Step 5: Solve for x
   x = 34,672,302,025/90,899
6. Step 6: Final answer
   x = 381,437.66