Finding the Third Proportional to 47,500 and 109,978

Step by Step Solution

1. Step 1: Write the proportion equation
   47,500 : 109,978 = 109,978 : x
2. Step 2: Convert to fraction form
   47,500/109,978 = 109,978/x
3. Step 3: Cross multiply
   47,500x = 109,978 × 109,978
4. Step 4: Simplify right side
   47,500x = 12,095,160,484
5. Step 5: Solve for x
   x = 12,095,160,484/47,500
6. Step 6: Final answer
   x = 254,634.96