Finding the Third Proportional to 90,166 and 140,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,166 : 140,164.50 = 140,164.50 : x
2. Step 2: Convert to fraction form
   90,166/140,164.50 = 140,164.50/x
3. Step 3: Cross multiply
   90,166x = 140,164.50 × 140,164.50
4. Step 4: Simplify right side
   90,166x = 19,646,087,060.25
5. Step 5: Solve for x
   x = 19,646,087,060.25/90,166
6. Step 6: Final answer
   x = 217,887.97