Finding the Third Proportional to 47,138 and 99,123

Step by Step Solution

1. Step 1: Write the proportion equation
   47,138 : 99,123 = 99,123 : x
2. Step 2: Convert to fraction form
   47,138/99,123 = 99,123/x
3. Step 3: Cross multiply
   47,138x = 99,123 × 99,123
4. Step 4: Simplify right side
   47,138x = 9,825,369,129
5. Step 5: Solve for x
   x = 9,825,369,129/47,138
6. Step 6: Final answer
   x = 208,438.40