Finding the Third Proportional to 90,180 and 192,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,180 : 192,865.50 = 192,865.50 : x
2. Step 2: Convert to fraction form
   90,180/192,865.50 = 192,865.50/x
3. Step 3: Cross multiply
   90,180x = 192,865.50 × 192,865.50
4. Step 4: Simplify right side
   90,180x = 37,197,101,090.25
5. Step 5: Solve for x
   x = 37,197,101,090.25/90,180
6. Step 6: Final answer
   x = 412,476.17