Finding the Third Proportional to 48,634 and 105,788

Step by Step Solution

1. Step 1: Write the proportion equation
   48,634 : 105,788 = 105,788 : x
2. Step 2: Convert to fraction form
   48,634/105,788 = 105,788/x
3. Step 3: Cross multiply
   48,634x = 105,788 × 105,788
4. Step 4: Simplify right side
   48,634x = 11,191,100,944
5. Step 5: Solve for x
   x = 11,191,100,944/48,634
6. Step 6: Final answer
   x = 230,108.59