Finding the Third Proportional to 91,729.50 and 145,932.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,729.50 : 145,932.50 = 145,932.50 : x
2. Step 2: Convert to fraction form
   91,729.50/145,932.50 = 145,932.50/x
3. Step 3: Cross multiply
   91,729.50x = 145,932.50 × 145,932.50
4. Step 4: Simplify right side
   91,729.50x = 21,296,294,556.25
5. Step 5: Solve for x
   x = 21,296,294,556.25/91,729.50
6. Step 6: Final answer
   x = 232,164.08