Finding the Third Proportional to 276,814.50 and 433,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276,814.50 : 433,672.50 = 433,672.50 : x
2. Step 2: Convert to fraction form
   276,814.50/433,672.50 = 433,672.50/x
3. Step 3: Cross multiply
   276,814.50x = 433,672.50 × 433,672.50
4. Step 4: Simplify right side
   276,814.50x = 188,071,837,256.25
5. Step 5: Solve for x
   x = 188,071,837,256.25/276,814.50
6. Step 6: Final answer
   x = 679,414.69