Finding the Third Proportional to 231,997.50 and 352,856.25

Step by Step Solution

1. Step 1: Write the proportion equation
   231,997.50 : 352,856.25 = 352,856.25 : x
2. Step 2: Convert to fraction form
   231,997.50/352,856.25 = 352,856.25/x
3. Step 3: Cross multiply
   231,997.50x = 352,856.25 × 352,856.25
4. Step 4: Simplify right side
   231,997.50x = 124,507,533,164.06
5. Step 5: Solve for x
   x = 124,507,533,164.06/231,997.50
6. Step 6: Final answer
   x = 536,676.18