Finding the Third Proportional to 71,802 and 152,244

Step by Step Solution

1. Step 1: Write the proportion equation
   71,802 : 152,244 = 152,244 : x
2. Step 2: Convert to fraction form
   71,802/152,244 = 152,244/x
3. Step 3: Cross multiply
   71,802x = 152,244 × 152,244
4. Step 4: Simplify right side
   71,802x = 23,178,235,536
5. Step 5: Solve for x
   x = 23,178,235,536/71,802
6. Step 6: Final answer
   x = 322,807.66