Finding the Third Proportional to 83,496 and 184,998

Step by Step Solution

1. Step 1: Write the proportion equation
   83,496 : 184,998 = 184,998 : x
2. Step 2: Convert to fraction form
   83,496/184,998 = 184,998/x
3. Step 3: Cross multiply
   83,496x = 184,998 × 184,998
4. Step 4: Simplify right side
   83,496x = 34,224,260,004
5. Step 5: Solve for x
   x = 34,224,260,004/83,496
6. Step 6: Final answer
   x = 409,891.01