Finding the Third Proportional to 103,636 and 152,055

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 152,055 = 152,055 : x
2. Step 2: Convert to fraction form
   103,636/152,055 = 152,055/x
3. Step 3: Cross multiply
   103,636x = 152,055 × 152,055
4. Step 4: Simplify right side
   103,636x = 23,120,723,025
5. Step 5: Solve for x
   x = 23,120,723,025/103,636
6. Step 6: Final answer
   x = 223,095.48