Finding the Third Proportional to 103,612 and 152,005

Step by Step Solution

1. Step 1: Write the proportion equation
   103,612 : 152,005 = 152,005 : x
2. Step 2: Convert to fraction form
   103,612/152,005 = 152,005/x
3. Step 3: Cross multiply
   103,612x = 152,005 × 152,005
4. Step 4: Simplify right side
   103,612x = 23,105,520,025
5. Step 5: Solve for x
   x = 23,105,520,025/103,612
6. Step 6: Final answer
   x = 223,000.42