Finding the Third Proportional to 116,565 and 174,126

Step by Step Solution

1. Step 1: Write the proportion equation
   116,565 : 174,126 = 174,126 : x
2. Step 2: Convert to fraction form
   116,565/174,126 = 174,126/x
3. Step 3: Cross multiply
   116,565x = 174,126 × 174,126
4. Step 4: Simplify right side
   116,565x = 30,319,863,876
5. Step 5: Solve for x
   x = 30,319,863,876/116,565
6. Step 6: Final answer
   x = 260,111.22