Finding the Third Proportional to 116,656 and 180,140

Step by Step Solution

1. Step 1: Write the proportion equation
   116,656 : 180,140 = 180,140 : x
2. Step 2: Convert to fraction form
   116,656/180,140 = 180,140/x
3. Step 3: Cross multiply
   116,656x = 180,140 × 180,140
4. Step 4: Simplify right side
   116,656x = 32,450,419,600
5. Step 5: Solve for x
   x = 32,450,419,600/116,656
6. Step 6: Final answer
   x = 278,171.89