Finding the Third Proportional to 116,809 and 182,998

Step by Step Solution

1. Step 1: Write the proportion equation
   116,809 : 182,998 = 182,998 : x
2. Step 2: Convert to fraction form
   116,809/182,998 = 182,998/x
3. Step 3: Cross multiply
   116,809x = 182,998 × 182,998
4. Step 4: Simplify right side
   116,809x = 33,488,268,004
5. Step 5: Solve for x
   x = 33,488,268,004/116,809
6. Step 6: Final answer
   x = 286,692.53