Finding the Third Proportional to 47,580 and 102,468

Step by Step Solution

1. Step 1: Write the proportion equation
   47,580 : 102,468 = 102,468 : x
2. Step 2: Convert to fraction form
   47,580/102,468 = 102,468/x
3. Step 3: Cross multiply
   47,580x = 102,468 × 102,468
4. Step 4: Simplify right side
   47,580x = 10,499,691,024
5. Step 5: Solve for x
   x = 10,499,691,024/47,580
6. Step 6: Final answer
   x = 220,674.46