Finding the Third Proportional to 122,865 and 192,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,865 : 192,772.50 = 192,772.50 : x
2. Step 2: Convert to fraction form
   122,865/192,772.50 = 192,772.50/x
3. Step 3: Cross multiply
   122,865x = 192,772.50 × 192,772.50
4. Step 4: Simplify right side
   122,865x = 37,161,236,756.25
5. Step 5: Solve for x
   x = 37,161,236,756.25/122,865
6. Step 6: Final answer
   x = 302,455.84