Finding the Third Proportional to 47,498 and 74,123

Step by Step Solution

1. Step 1: Write the proportion equation
   47,498 : 74,123 = 74,123 : x
2. Step 2: Convert to fraction form
   47,498/74,123 = 74,123/x
3. Step 3: Cross multiply
   47,498x = 74,123 × 74,123
4. Step 4: Simplify right side
   47,498x = 5,494,219,129
5. Step 5: Solve for x
   x = 5,494,219,129/47,498
6. Step 6: Final answer
   x = 115,672.64