Finding the Third Proportional to 116,448 and 180,362

Step by Step Solution

1. Step 1: Write the proportion equation
   116,448 : 180,362 = 180,362 : x
2. Step 2: Convert to fraction form
   116,448/180,362 = 180,362/x
3. Step 3: Cross multiply
   116,448x = 180,362 × 180,362
4. Step 4: Simplify right side
   116,448x = 32,530,451,044
5. Step 5: Solve for x
   x = 32,530,451,044/116,448
6. Step 6: Final answer
   x = 279,356.03