Finding the Third Proportional to 415,634.50 and 531,083

Step by Step Solution

1. Step 1: Write the proportion equation
   415,634.50 : 531,083 = 531,083 : x
2. Step 2: Convert to fraction form
   415,634.50/531,083 = 531,083/x
3. Step 3: Cross multiply
   415,634.50x = 531,083 × 531,083
4. Step 4: Simplify right side
   415,634.50x = 282,049,152,889
5. Step 5: Solve for x
   x = 282,049,152,889/415,634.50
6. Step 6: Final answer
   x = 678,598.99