Finding the Third Proportional to 83,794 and 180,710

Step by Step Solution

1. Step 1: Write the proportion equation
   83,794 : 180,710 = 180,710 : x
2. Step 2: Convert to fraction form
   83,794/180,710 = 180,710/x
3. Step 3: Cross multiply
   83,794x = 180,710 × 180,710
4. Step 4: Simplify right side
   83,794x = 32,656,104,100
5. Step 5: Solve for x
   x = 32,656,104,100/83,794
6. Step 6: Final answer
   x = 389,718.88