Finding the Third Proportional to 150,822 and 210,816

Step by Step Solution

1. Step 1: Write the proportion equation
   150,822 : 210,816 = 210,816 : x
2. Step 2: Convert to fraction form
   150,822/210,816 = 210,816/x
3. Step 3: Cross multiply
   150,822x = 210,816 × 210,816
4. Step 4: Simplify right side
   150,822x = 44,443,385,856
5. Step 5: Solve for x
   x = 44,443,385,856/150,822
6. Step 6: Final answer
   x = 294,674.42