Finding the Third Proportional to 71,958 and 152,685

Step by Step Solution

1. Step 1: Write the proportion equation
   71,958 : 152,685 = 152,685 : x
2. Step 2: Convert to fraction form
   71,958/152,685 = 152,685/x
3. Step 3: Cross multiply
   71,958x = 152,685 × 152,685
4. Step 4: Simplify right side
   71,958x = 23,312,709,225
5. Step 5: Solve for x
   x = 23,312,709,225/71,958
6. Step 6: Final answer
   x = 323,976.61