Finding the Third Proportional to 116,616 and 174,948

Step by Step Solution

1. Step 1: Write the proportion equation
   116,616 : 174,948 = 174,948 : x
2. Step 2: Convert to fraction form
   116,616/174,948 = 174,948/x
3. Step 3: Cross multiply
   116,616x = 174,948 × 174,948
4. Step 4: Simplify right side
   116,616x = 30,606,802,704
5. Step 5: Solve for x
   x = 30,606,802,704/116,616
6. Step 6: Final answer
   x = 262,458.00