Finding the Third Proportional to 231,741 and 507,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,741 : 507,664.50 = 507,664.50 : x
2. Step 2: Convert to fraction form
   231,741/507,664.50 = 507,664.50/x
3. Step 3: Cross multiply
   231,741x = 507,664.50 × 507,664.50
4. Step 4: Simplify right side
   231,741x = 257,723,244,560.25
5. Step 5: Solve for x
   x = 257,723,244,560.25/231,741
6. Step 6: Final answer
   x = 1,112,117.60