Finding the Third Proportional to 340,884 and 504,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,884 : 504,763.50 = 504,763.50 : x
2. Step 2: Convert to fraction form
   340,884/504,763.50 = 504,763.50/x
3. Step 3: Cross multiply
   340,884x = 504,763.50 × 504,763.50
4. Step 4: Simplify right side
   340,884x = 254,786,190,932.25
5. Step 5: Solve for x
   x = 254,786,190,932.25/340,884
6. Step 6: Final answer
   x = 747,427.84