Finding the Third Proportional to 116,908 and 180,818

Step by Step Solution

1. Step 1: Write the proportion equation
   116,908 : 180,818 = 180,818 : x
2. Step 2: Convert to fraction form
   116,908/180,818 = 180,818/x
3. Step 3: Cross multiply
   116,908x = 180,818 × 180,818
4. Step 4: Simplify right side
   116,908x = 32,695,149,124
5. Step 5: Solve for x
   x = 32,695,149,124/116,908
6. Step 6: Final answer
   x = 279,665.63