Finding the Third Proportional to 65,606 and 141,584

Step by Step Solution

1. Step 1: Write the proportion equation
   65,606 : 141,584 = 141,584 : x
2. Step 2: Convert to fraction form
   65,606/141,584 = 141,584/x
3. Step 3: Cross multiply
   65,606x = 141,584 × 141,584
4. Step 4: Simplify right side
   65,606x = 20,046,029,056
5. Step 5: Solve for x
   x = 20,046,029,056/65,606
6. Step 6: Final answer
   x = 305,551.76