Finding the Third Proportional to 116,460 and 174,510

Step by Step Solution

1. Step 1: Write the proportion equation
   116,460 : 174,510 = 174,510 : x
2. Step 2: Convert to fraction form
   116,460/174,510 = 174,510/x
3. Step 3: Cross multiply
   116,460x = 174,510 × 174,510
4. Step 4: Simplify right side
   116,460x = 30,453,740,100
5. Step 5: Solve for x
   x = 30,453,740,100/116,460
6. Step 6: Final answer
   x = 261,495.28