Finding the Third Proportional to 65,982 and 102,123

Step by Step Solution

1. Step 1: Write the proportion equation
   65,982 : 102,123 = 102,123 : x
2. Step 2: Convert to fraction form
   65,982/102,123 = 102,123/x
3. Step 3: Cross multiply
   65,982x = 102,123 × 102,123
4. Step 4: Simplify right side
   65,982x = 10,429,107,129
5. Step 5: Solve for x
   x = 10,429,107,129/65,982
6. Step 6: Final answer
   x = 158,059.88