Finding the Third Proportional to 103,668 and 152,191

Step by Step Solution

1. Step 1: Write the proportion equation
   103,668 : 152,191 = 152,191 : x
2. Step 2: Convert to fraction form
   103,668/152,191 = 152,191/x
3. Step 3: Cross multiply
   103,668x = 152,191 × 152,191
4. Step 4: Simplify right side
   103,668x = 23,162,100,481
5. Step 5: Solve for x
   x = 23,162,100,481/103,668
6. Step 6: Final answer
   x = 223,425.75