Finding the Third Proportional to 146,191 and 218,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,191 : 218,691.50 = 218,691.50 : x
2. Step 2: Convert to fraction form
   146,191/218,691.50 = 218,691.50/x
3. Step 3: Cross multiply
   146,191x = 218,691.50 × 218,691.50
4. Step 4: Simplify right side
   146,191x = 47,825,972,172.25
5. Step 5: Solve for x
   x = 47,825,972,172.25/146,191
6. Step 6: Final answer
   x = 327,147.17