Finding the Third Proportional to 114,056 and 274,772

Step by Step Solution

1. Step 1: Write the proportion equation
   114,056 : 274,772 = 274,772 : x
2. Step 2: Convert to fraction form
   114,056/274,772 = 274,772/x
3. Step 3: Cross multiply
   114,056x = 274,772 × 274,772
4. Step 4: Simplify right side
   114,056x = 75,499,651,984
5. Step 5: Solve for x
   x = 75,499,651,984/114,056
6. Step 6: Final answer
   x = 661,952.48