Finding the Third Proportional to 91,196 and 186,901

Step by Step Solution

1. Step 1: Write the proportion equation
   91,196 : 186,901 = 186,901 : x
2. Step 2: Convert to fraction form
   91,196/186,901 = 186,901/x
3. Step 3: Cross multiply
   91,196x = 186,901 × 186,901
4. Step 4: Simplify right side
   91,196x = 34,931,983,801
5. Step 5: Solve for x
   x = 34,931,983,801/91,196
6. Step 6: Final answer
   x = 383,042.94