Finding the Third Proportional to 48,672 and 105,606

Step by Step Solution

1. Step 1: Write the proportion equation
   48,672 : 105,606 = 105,606 : x
2. Step 2: Convert to fraction form
   48,672/105,606 = 105,606/x
3. Step 3: Cross multiply
   48,672x = 105,606 × 105,606
4. Step 4: Simplify right side
   48,672x = 11,152,627,236
5. Step 5: Solve for x
   x = 11,152,627,236/48,672
6. Step 6: Final answer
   x = 229,138.46