Finding the Third Proportional to 90,180 and 140,184

Step by Step Solution

1. Step 1: Write the proportion equation
   90,180 : 140,184 = 140,184 : x
2. Step 2: Convert to fraction form
   90,180/140,184 = 140,184/x
3. Step 3: Cross multiply
   90,180x = 140,184 × 140,184
4. Step 4: Simplify right side
   90,180x = 19,651,553,856
5. Step 5: Solve for x
   x = 19,651,553,856/90,180
6. Step 6: Final answer
   x = 217,914.77