Finding the Third Proportional to 115,688 and 174,988

Step by Step Solution

1. Step 1: Write the proportion equation
   115,688 : 174,988 = 174,988 : x
2. Step 2: Convert to fraction form
   115,688/174,988 = 174,988/x
3. Step 3: Cross multiply
   115,688x = 174,988 × 174,988
4. Step 4: Simplify right side
   115,688x = 30,620,800,144
5. Step 5: Solve for x
   x = 30,620,800,144/115,688
6. Step 6: Final answer
   x = 264,684.32