Finding the Third Proportional to 71,600 and 152,416

Step by Step Solution

1. Step 1: Write the proportion equation
   71,600 : 152,416 = 152,416 : x
2. Step 2: Convert to fraction form
   71,600/152,416 = 152,416/x
3. Step 3: Cross multiply
   71,600x = 152,416 × 152,416
4. Step 4: Simplify right side
   71,600x = 23,230,637,056
5. Step 5: Solve for x
   x = 23,230,637,056/71,600
6. Step 6: Final answer
   x = 324,450.24