Finding the Third Proportional to 114,704 and 173,784

Step by Step Solution

1. Step 1: Write the proportion equation
   114,704 : 173,784 = 173,784 : x
2. Step 2: Convert to fraction form
   114,704/173,784 = 173,784/x
3. Step 3: Cross multiply
   114,704x = 173,784 × 173,784
4. Step 4: Simplify right side
   114,704x = 30,200,878,656
5. Step 5: Solve for x
   x = 30,200,878,656/114,704
6. Step 6: Final answer
   x = 263,294.03