Finding the Third Proportional to 116,666 and 180,466

Step by Step Solution

1. Step 1: Write the proportion equation
   116,666 : 180,466 = 180,466 : x
2. Step 2: Convert to fraction form
   116,666/180,466 = 180,466/x
3. Step 3: Cross multiply
   116,666x = 180,466 × 180,466
4. Step 4: Simplify right side
   116,666x = 32,567,977,156
5. Step 5: Solve for x
   x = 32,567,977,156/116,666
6. Step 6: Final answer
   x = 279,155.69