Finding the Third Proportional to 134,082 and 293,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   134,082 : 293,766.75 = 293,766.75 : x
2. Step 2: Convert to fraction form
   134,082/293,766.75 = 293,766.75/x
3. Step 3: Cross multiply
   134,082x = 293,766.75 × 293,766.75
4. Step 4: Simplify right side
   134,082x = 86,298,903,405.56
5. Step 5: Solve for x
   x = 86,298,903,405.56/134,082
6. Step 6: Final answer
   x = 643,627.81