Finding the Third Proportional to 116,983 and 174,695

Step by Step Solution

1. Step 1: Write the proportion equation
   116,983 : 174,695 = 174,695 : x
2. Step 2: Convert to fraction form
   116,983/174,695 = 174,695/x
3. Step 3: Cross multiply
   116,983x = 174,695 × 174,695
4. Step 4: Simplify right side
   116,983x = 30,518,343,025
5. Step 5: Solve for x
   x = 30,518,343,025/116,983
6. Step 6: Final answer
   x = 260,878.44