Finding the Third Proportional to 116,142 and 177,543

Step by Step Solution

1. Step 1: Write the proportion equation
   116,142 : 177,543 = 177,543 : x
2. Step 2: Convert to fraction form
   116,142/177,543 = 177,543/x
3. Step 3: Cross multiply
   116,142x = 177,543 × 177,543
4. Step 4: Simplify right side
   116,142x = 31,521,516,849
5. Step 5: Solve for x
   x = 31,521,516,849/116,142
6. Step 6: Final answer
   x = 271,404.98