Finding the Third Proportional to 116,578 and 174,868

Step by Step Solution

1. Step 1: Write the proportion equation
   116,578 : 174,868 = 174,868 : x
2. Step 2: Convert to fraction form
   116,578/174,868 = 174,868/x
3. Step 3: Cross multiply
   116,578x = 174,868 × 174,868
4. Step 4: Simplify right side
   116,578x = 30,578,817,424
5. Step 5: Solve for x
   x = 30,578,817,424/116,578
6. Step 6: Final answer
   x = 262,303.50