Finding the Third Proportional to 76,726 and 116,692

Step by Step Solution

1. Step 1: Write the proportion equation
   76,726 : 116,692 = 116,692 : x
2. Step 2: Convert to fraction form
   76,726/116,692 = 116,692/x
3. Step 3: Cross multiply
   76,726x = 116,692 × 116,692
4. Step 4: Simplify right side
   76,726x = 13,617,022,864
5. Step 5: Solve for x
   x = 13,617,022,864/76,726
6. Step 6: Final answer
   x = 177,475.99