Finding the Third Proportional to 72,123 and 156,411

Step by Step Solution

1. Step 1: Write the proportion equation
   72,123 : 156,411 = 156,411 : x
2. Step 2: Convert to fraction form
   72,123/156,411 = 156,411/x
3. Step 3: Cross multiply
   72,123x = 156,411 × 156,411
4. Step 4: Simplify right side
   72,123x = 24,464,400,921
5. Step 5: Solve for x
   x = 24,464,400,921/72,123
6. Step 6: Final answer
   x = 339,203.87