Finding the Third Proportional to 116,980 and 174,690

Step by Step Solution

1. Step 1: Write the proportion equation
   116,980 : 174,690 = 174,690 : x
2. Step 2: Convert to fraction form
   116,980/174,690 = 174,690/x
3. Step 3: Cross multiply
   116,980x = 174,690 × 174,690
4. Step 4: Simplify right side
   116,980x = 30,516,596,100
5. Step 5: Solve for x
   x = 30,516,596,100/116,980
6. Step 6: Final answer
   x = 260,870.20