Finding the Third Proportional to 103,633 and 152,049

Step by Step Solution

1. Step 1: Write the proportion equation
   103,633 : 152,049 = 152,049 : x
2. Step 2: Convert to fraction form
   103,633/152,049 = 152,049/x
3. Step 3: Cross multiply
   103,633x = 152,049 × 152,049
4. Step 4: Simplify right side
   103,633x = 23,118,898,401
5. Step 5: Solve for x
   x = 23,118,898,401/103,633
6. Step 6: Final answer
   x = 223,084.33