Finding the Third Proportional to 155,876 and 337,984

Step by Step Solution

1. Step 1: Write the proportion equation
   155,876 : 337,984 = 337,984 : x
2. Step 2: Convert to fraction form
   155,876/337,984 = 337,984/x
3. Step 3: Cross multiply
   155,876x = 337,984 × 337,984
4. Step 4: Simplify right side
   155,876x = 114,233,184,256
5. Step 5: Solve for x
   x = 114,233,184,256/155,876
6. Step 6: Final answer
   x = 732,846.52