Finding the Third Proportional to 269,178 and 392,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,178 : 392,082.50 = 392,082.50 : x
2. Step 2: Convert to fraction form
   269,178/392,082.50 = 392,082.50/x
3. Step 3: Cross multiply
   269,178x = 392,082.50 × 392,082.50
4. Step 4: Simplify right side
   269,178x = 153,728,686,806.25
5. Step 5: Solve for x
   x = 153,728,686,806.25/269,178
6. Step 6: Final answer
   x = 571,104.20