Finding the Third Proportional to 103,686 and 152,215

Step by Step Solution

1. Step 1: Write the proportion equation
   103,686 : 152,215 = 152,215 : x
2. Step 2: Convert to fraction form
   103,686/152,215 = 152,215/x
3. Step 3: Cross multiply
   103,686x = 152,215 × 152,215
4. Step 4: Simplify right side
   103,686x = 23,169,406,225
5. Step 5: Solve for x
   x = 23,169,406,225/103,686
6. Step 6: Final answer
   x = 223,457.42