Finding the Third Proportional to 83,487 and 184,983

Step by Step Solution

1. Step 1: Write the proportion equation
   83,487 : 184,983 = 184,983 : x
2. Step 2: Convert to fraction form
   83,487/184,983 = 184,983/x
3. Step 3: Cross multiply
   83,487x = 184,983 × 184,983
4. Step 4: Simplify right side
   83,487x = 34,218,710,289
5. Step 5: Solve for x
   x = 34,218,710,289/83,487
6. Step 6: Final answer
   x = 409,868.73