Finding the Third Proportional to 116,836 and 183,040

Step by Step Solution

1. Step 1: Write the proportion equation
   116,836 : 183,040 = 183,040 : x
2. Step 2: Convert to fraction form
   116,836/183,040 = 183,040/x
3. Step 3: Cross multiply
   116,836x = 183,040 × 183,040
4. Step 4: Simplify right side
   116,836x = 33,503,641,600
5. Step 5: Solve for x
   x = 33,503,641,600/116,836
6. Step 6: Final answer
   x = 286,757.86