Finding the Third Proportional to 152,096 and 228,612

Step by Step Solution

1. Step 1: Write the proportion equation
   152,096 : 228,612 = 228,612 : x
2. Step 2: Convert to fraction form
   152,096/228,612 = 228,612/x
3. Step 3: Cross multiply
   152,096x = 228,612 × 228,612
4. Step 4: Simplify right side
   152,096x = 52,263,446,544
5. Step 5: Solve for x
   x = 52,263,446,544/152,096
6. Step 6: Final answer
   x = 343,621.44