Finding the Third Proportional to 72,139 and 156,977

Step by Step Solution

1. Step 1: Write the proportion equation
   72,139 : 156,977 = 156,977 : x
2. Step 2: Convert to fraction form
   72,139/156,977 = 156,977/x
3. Step 3: Cross multiply
   72,139x = 156,977 × 156,977
4. Step 4: Simplify right side
   72,139x = 24,641,778,529
5. Step 5: Solve for x
   x = 24,641,778,529/72,139
6. Step 6: Final answer
   x = 341,587.47