Finding the Third Proportional to 114,060 and 274,782

Step by Step Solution

1. Step 1: Write the proportion equation
   114,060 : 274,782 = 274,782 : x
2. Step 2: Convert to fraction form
   114,060/274,782 = 274,782/x
3. Step 3: Cross multiply
   114,060x = 274,782 × 274,782
4. Step 4: Simplify right side
   114,060x = 75,505,147,524
5. Step 5: Solve for x
   x = 75,505,147,524/114,060
6. Step 6: Final answer
   x = 661,977.45