Finding the Third Proportional to 65,584 and 141,536

Step by Step Solution

1. Step 1: Write the proportion equation
   65,584 : 141,536 = 141,536 : x
2. Step 2: Convert to fraction form
   65,584/141,536 = 141,536/x
3. Step 3: Cross multiply
   65,584x = 141,536 × 141,536
4. Step 4: Simplify right side
   65,584x = 20,032,439,296
5. Step 5: Solve for x
   x = 20,032,439,296/65,584
6. Step 6: Final answer
   x = 305,447.05