Finding the Third Proportional to 70,442 and 152,632

Step by Step Solution

1. Step 1: Write the proportion equation
   70,442 : 152,632 = 152,632 : x
2. Step 2: Convert to fraction form
   70,442/152,632 = 152,632/x
3. Step 3: Cross multiply
   70,442x = 152,632 × 152,632
4. Step 4: Simplify right side
   70,442x = 23,296,527,424
5. Step 5: Solve for x
   x = 23,296,527,424/70,442
6. Step 6: Final answer
   x = 330,719.28