Finding the Third Proportional to 123,416 and 180,516

Step by Step Solution

1. Step 1: Write the proportion equation
   123,416 : 180,516 = 180,516 : x
2. Step 2: Convert to fraction form
   123,416/180,516 = 180,516/x
3. Step 3: Cross multiply
   123,416x = 180,516 × 180,516
4. Step 4: Simplify right side
   123,416x = 32,586,026,256
5. Step 5: Solve for x
   x = 32,586,026,256/123,416
6. Step 6: Final answer
   x = 264,034.05