Finding the Third Proportional to 231,678 and 507,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,678 : 507,640.50 = 507,640.50 : x
2. Step 2: Convert to fraction form
   231,678/507,640.50 = 507,640.50/x
3. Step 3: Cross multiply
   231,678x = 507,640.50 × 507,640.50
4. Step 4: Simplify right side
   231,678x = 257,698,877,240.25
5. Step 5: Solve for x
   x = 257,698,877,240.25/231,678
6. Step 6: Final answer
   x = 1,112,314.84