Finding the Third Proportional to 47,588 and 100,536

Step by Step Solution

1. Step 1: Write the proportion equation
   47,588 : 100,536 = 100,536 : x
2. Step 2: Convert to fraction form
   47,588/100,536 = 100,536/x
3. Step 3: Cross multiply
   47,588x = 100,536 × 100,536
4. Step 4: Simplify right side
   47,588x = 10,107,487,296
5. Step 5: Solve for x
   x = 10,107,487,296/47,588
6. Step 6: Final answer
   x = 212,395.72