Finding the Third Proportional to 47,925 and 102,789

Step by Step Solution

1. Step 1: Write the proportion equation
   47,925 : 102,789 = 102,789 : x
2. Step 2: Convert to fraction form
   47,925/102,789 = 102,789/x
3. Step 3: Cross multiply
   47,925x = 102,789 × 102,789
4. Step 4: Simplify right side
   47,925x = 10,565,578,521
5. Step 5: Solve for x
   x = 10,565,578,521/47,925
6. Step 6: Final answer
   x = 220,460.69