Finding the Third Proportional to 231,648 and 507,583

Step by Step Solution

1. Step 1: Write the proportion equation
   231,648 : 507,583 = 507,583 : x
2. Step 2: Convert to fraction form
   231,648/507,583 = 507,583/x
3. Step 3: Cross multiply
   231,648x = 507,583 × 507,583
4. Step 4: Simplify right side
   231,648x = 257,640,501,889
5. Step 5: Solve for x
   x = 257,640,501,889/231,648
6. Step 6: Final answer
   x = 1,112,206.89