Finding the Third Proportional to 354,726 and 509,944.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,726 : 509,944.50 = 509,944.50 : x
2. Step 2: Convert to fraction form
   354,726/509,944.50 = 509,944.50/x
3. Step 3: Cross multiply
   354,726x = 509,944.50 × 509,944.50
4. Step 4: Simplify right side
   354,726x = 260,043,393,080.25
5. Step 5: Solve for x
   x = 260,043,393,080.25/354,726
6. Step 6: Final answer
   x = 733,082.42