Finding the Third Proportional to 175,066.50 and 274,339.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,066.50 : 274,339.50 = 274,339.50 : x
2. Step 2: Convert to fraction form
   175,066.50/274,339.50 = 274,339.50/x
3. Step 3: Cross multiply
   175,066.50x = 274,339.50 × 274,339.50
4. Step 4: Simplify right side
   175,066.50x = 75,262,161,260.25
5. Step 5: Solve for x
   x = 75,262,161,260.25/175,066.50
6. Step 6: Final answer
   x = 429,906.13