Finding the Third Proportional to 135,882 and 319,722.75

Step by Step Solution

1. Step 1: Write the proportion equation
   135,882 : 319,722.75 = 319,722.75 : x
2. Step 2: Convert to fraction form
   135,882/319,722.75 = 319,722.75/x
3. Step 3: Cross multiply
   135,882x = 319,722.75 × 319,722.75
4. Step 4: Simplify right side
   135,882x = 102,222,636,867.56
5. Step 5: Solve for x
   x = 102,222,636,867.56/135,882
6. Step 6: Final answer
   x = 752,289.76