Finding the Third Proportional to 276,784.31 and 413,731.69

Step by Step Solution

1. Step 1: Write the proportion equation
   276,784.31 : 413,731.69 = 413,731.69 : x
2. Step 2: Convert to fraction form
   276,784.31/413,731.69 = 413,731.69/x
3. Step 3: Cross multiply
   276,784.31x = 413,731.69 × 413,731.69
4. Step 4: Simplify right side
   276,784.31x = 171,173,909,241.60
5. Step 5: Solve for x
   x = 171,173,909,241.60/276,784.31
6. Step 6: Final answer
   x = 618,437.90