Finding the Third Proportional to 65,404.50 and 141,262.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,404.50 : 141,262.50 = 141,262.50 : x
2. Step 2: Convert to fraction form
   65,404.50/141,262.50 = 141,262.50/x
3. Step 3: Cross multiply
   65,404.50x = 141,262.50 × 141,262.50
4. Step 4: Simplify right side
   65,404.50x = 19,955,093,906.25
5. Step 5: Solve for x
   x = 19,955,093,906.25/65,404.50
6. Step 6: Final answer
   x = 305,102.77