Finding the Third Proportional to 106,997.25 and 253,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,997.25 : 253,036.50 = 253,036.50 : x
2. Step 2: Convert to fraction form
   106,997.25/253,036.50 = 253,036.50/x
3. Step 3: Cross multiply
   106,997.25x = 253,036.50 × 253,036.50
4. Step 4: Simplify right side
   106,997.25x = 64,027,470,332.25
5. Step 5: Solve for x
   x = 64,027,470,332.25/106,997.25
6. Step 6: Final answer
   x = 598,402.95