Finding the Third Proportional to 191,929.50 and 413,019

Step by Step Solution

1. Step 1: Write the proportion equation
   191,929.50 : 413,019 = 413,019 : x
2. Step 2: Convert to fraction form
   191,929.50/413,019 = 413,019/x
3. Step 3: Cross multiply
   191,929.50x = 413,019 × 413,019
4. Step 4: Simplify right side
   191,929.50x = 170,584,694,361
5. Step 5: Solve for x
   x = 170,584,694,361/191,929.50
6. Step 6: Final answer
   x = 888,788.30