Finding the Third Proportional to 71,574 and 152,364

Step by Step Solution

1. Step 1: Write the proportion equation
   71,574 : 152,364 = 152,364 : x
2. Step 2: Convert to fraction form
   71,574/152,364 = 152,364/x
3. Step 3: Cross multiply
   71,574x = 152,364 × 152,364
4. Step 4: Simplify right side
   71,574x = 23,214,788,496
5. Step 5: Solve for x
   x = 23,214,788,496/71,574
6. Step 6: Final answer
   x = 324,346.67