Finding the Third Proportional to 101,194.50 and 146,195

Step by Step Solution

1. Step 1: Write the proportion equation
   101,194.50 : 146,195 = 146,195 : x
2. Step 2: Convert to fraction form
   101,194.50/146,195 = 146,195/x
3. Step 3: Cross multiply
   101,194.50x = 146,195 × 146,195
4. Step 4: Simplify right side
   101,194.50x = 21,372,978,025
5. Step 5: Solve for x
   x = 21,372,978,025/101,194.50
6. Step 6: Final answer
   x = 211,206.91