Finding the Third Proportional to 232,997.25 and 499,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   232,997.25 : 499,978.50 = 499,978.50 : x
2. Step 2: Convert to fraction form
   232,997.25/499,978.50 = 499,978.50/x
3. Step 3: Cross multiply
   232,997.25x = 499,978.50 × 499,978.50
4. Step 4: Simplify right side
   232,997.25x = 249,978,500,462.25
5. Step 5: Solve for x
   x = 249,978,500,462.25/232,997.25
6. Step 6: Final answer
   x = 1,072,881.76