Finding the Third Proportional to 136,782 and 204,626.25

Step by Step Solution

1. Step 1: Write the proportion equation
   136,782 : 204,626.25 = 204,626.25 : x
2. Step 2: Convert to fraction form
   136,782/204,626.25 = 204,626.25/x
3. Step 3: Cross multiply
   136,782x = 204,626.25 × 204,626.25
4. Step 4: Simplify right side
   136,782x = 41,871,902,189.06
5. Step 5: Solve for x
   x = 41,871,902,189.06/136,782
6. Step 6: Final answer
   x = 306,121.44