Finding the Third Proportional to 116,598 and 174,990

Step by Step Solution

1. Step 1: Write the proportion equation
   116,598 : 174,990 = 174,990 : x
2. Step 2: Convert to fraction form
   116,598/174,990 = 174,990/x
3. Step 3: Cross multiply
   116,598x = 174,990 × 174,990
4. Step 4: Simplify right side
   116,598x = 30,621,500,100
5. Step 5: Solve for x
   x = 30,621,500,100/116,598
6. Step 6: Final answer
   x = 262,624.57