Finding the Third Proportional to 47,498 and 101,584

Step by Step Solution

1. Step 1: Write the proportion equation
   47,498 : 101,584 = 101,584 : x
2. Step 2: Convert to fraction form
   47,498/101,584 = 101,584/x
3. Step 3: Cross multiply
   47,498x = 101,584 × 101,584
4. Step 4: Simplify right side
   47,498x = 10,319,309,056
5. Step 5: Solve for x
   x = 10,319,309,056/47,498
6. Step 6: Final answer
   x = 217,257.76