Finding the Third Proportional to 80,962.50 and 122,574

Step by Step Solution

1. Step 1: Write the proportion equation
   80,962.50 : 122,574 = 122,574 : x
2. Step 2: Convert to fraction form
   80,962.50/122,574 = 122,574/x
3. Step 3: Cross multiply
   80,962.50x = 122,574 × 122,574
4. Step 4: Simplify right side
   80,962.50x = 15,024,385,476
5. Step 5: Solve for x
   x = 15,024,385,476/80,962.50
6. Step 6: Final answer
   x = 185,572.15