Finding the Third Proportional to 61,580 and 131,584

Step by Step Solution

1. Step 1: Write the proportion equation
   61,580 : 131,584 = 131,584 : x
2. Step 2: Convert to fraction form
   61,580/131,584 = 131,584/x
3. Step 3: Cross multiply
   61,580x = 131,584 × 131,584
4. Step 4: Simplify right side
   61,580x = 17,314,349,056
5. Step 5: Solve for x
   x = 17,314,349,056/61,580
6. Step 6: Final answer
   x = 281,168.38