Finding the Third Proportional to 116,613 and 180,072

Step by Step Solution

1. Step 1: Write the proportion equation
   116,613 : 180,072 = 180,072 : x
2. Step 2: Convert to fraction form
   116,613/180,072 = 180,072/x
3. Step 3: Cross multiply
   116,613x = 180,072 × 180,072
4. Step 4: Simplify right side
   116,613x = 32,425,925,184
5. Step 5: Solve for x
   x = 32,425,925,184/116,613
6. Step 6: Final answer
   x = 278,064.41