Finding the Third Proportional to 103,618 and 152,012

Step by Step Solution

1. Step 1: Write the proportion equation
   103,618 : 152,012 = 152,012 : x
2. Step 2: Convert to fraction form
   103,618/152,012 = 152,012/x
3. Step 3: Cross multiply
   103,618x = 152,012 × 152,012
4. Step 4: Simplify right side
   103,618x = 23,107,648,144
5. Step 5: Solve for x
   x = 23,107,648,144/103,618
6. Step 6: Final answer
   x = 223,008.05