Finding the Third Proportional to 116,310 and 174,609

Step by Step Solution

1. Step 1: Write the proportion equation
   116,310 : 174,609 = 174,609 : x
2. Step 2: Convert to fraction form
   116,310/174,609 = 174,609/x
3. Step 3: Cross multiply
   116,310x = 174,609 × 174,609
4. Step 4: Simplify right side
   116,310x = 30,488,302,881
5. Step 5: Solve for x
   x = 30,488,302,881/116,310
6. Step 6: Final answer
   x = 262,129.68