Finding the Third Proportional to 116,496 and 174,280

Step by Step Solution

1. Step 1: Write the proportion equation
   116,496 : 174,280 = 174,280 : x
2. Step 2: Convert to fraction form
   116,496/174,280 = 174,280/x
3. Step 3: Cross multiply
   116,496x = 174,280 × 174,280
4. Step 4: Simplify right side
   116,496x = 30,373,518,400
5. Step 5: Solve for x
   x = 30,373,518,400/116,496
6. Step 6: Final answer
   x = 260,725.85