Finding the Third Proportional to 116,478 and 186,543

Step by Step Solution

1. Step 1: Write the proportion equation
   116,478 : 186,543 = 186,543 : x
2. Step 2: Convert to fraction form
   116,478/186,543 = 186,543/x
3. Step 3: Cross multiply
   116,478x = 186,543 × 186,543
4. Step 4: Simplify right side
   116,478x = 34,798,290,849
5. Step 5: Solve for x
   x = 34,798,290,849/116,478
6. Step 6: Final answer
   x = 298,754.19