Finding the Third Proportional to 71,844 and 156,123

Step by Step Solution

1. Step 1: Write the proportion equation
   71,844 : 156,123 = 156,123 : x
2. Step 2: Convert to fraction form
   71,844/156,123 = 156,123/x
3. Step 3: Cross multiply
   71,844x = 156,123 × 156,123
4. Step 4: Simplify right side
   71,844x = 24,374,391,129
5. Step 5: Solve for x
   x = 24,374,391,129/71,844
6. Step 6: Final answer
   x = 339,268.29