Finding the Third Proportional to 114,648 and 174,429

Step by Step Solution

1. Step 1: Write the proportion equation
   114,648 : 174,429 = 174,429 : x
2. Step 2: Convert to fraction form
   114,648/174,429 = 174,429/x
3. Step 3: Cross multiply
   114,648x = 174,429 × 174,429
4. Step 4: Simplify right side
   114,648x = 30,425,476,041
5. Step 5: Solve for x
   x = 30,425,476,041/114,648
6. Step 6: Final answer
   x = 265,381.66