Finding the Third Proportional to 65,832 and 141,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,832 : 141,654.50 = 141,654.50 : x
2. Step 2: Convert to fraction form
   65,832/141,654.50 = 141,654.50/x
3. Step 3: Cross multiply
   65,832x = 141,654.50 × 141,654.50
4. Step 4: Simplify right side
   65,832x = 20,065,997,370.25
5. Step 5: Solve for x
   x = 20,065,997,370.25/65,832
6. Step 6: Final answer
   x = 304,806.13