Finding the Third Proportional to 76,405 and 116,804

Step by Step Solution

1. Step 1: Write the proportion equation
   76,405 : 116,804 = 116,804 : x
2. Step 2: Convert to fraction form
   76,405/116,804 = 116,804/x
3. Step 3: Cross multiply
   76,405x = 116,804 × 116,804
4. Step 4: Simplify right side
   76,405x = 13,643,174,416
5. Step 5: Solve for x
   x = 13,643,174,416/76,405
6. Step 6: Final answer
   x = 178,563.90