Finding the Third Proportional to 354,906 and 510,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   354,906 : 510,151.50 = 510,151.50 : x
2. Step 2: Convert to fraction form
   354,906/510,151.50 = 510,151.50/x
3. Step 3: Cross multiply
   354,906x = 510,151.50 × 510,151.50
4. Step 4: Simplify right side
   354,906x = 260,254,552,952.25
5. Step 5: Solve for x
   x = 260,254,552,952.25/354,906
6. Step 6: Final answer
   x = 733,305.59