Finding the Third Proportional to 48,951 and 102,123

Step by Step Solution

1. Step 1: Write the proportion equation
   48,951 : 102,123 = 102,123 : x
2. Step 2: Convert to fraction form
   48,951/102,123 = 102,123/x
3. Step 3: Cross multiply
   48,951x = 102,123 × 102,123
4. Step 4: Simplify right side
   48,951x = 10,429,107,129
5. Step 5: Solve for x
   x = 10,429,107,129/48,951
6. Step 6: Final answer
   x = 213,051.97