Finding the Third Proportional to 116,663 and 175,086

Step by Step Solution

1. Step 1: Write the proportion equation
   116,663 : 175,086 = 175,086 : x
2. Step 2: Convert to fraction form
   116,663/175,086 = 175,086/x
3. Step 3: Cross multiply
   116,663x = 175,086 × 175,086
4. Step 4: Simplify right side
   116,663x = 30,655,107,396
5. Step 5: Solve for x
   x = 30,655,107,396/116,663
6. Step 6: Final answer
   x = 262,766.32