Finding the Third Proportional to 106,342.50 and 232,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,342.50 : 232,003.50 = 232,003.50 : x
2. Step 2: Convert to fraction form
   106,342.50/232,003.50 = 232,003.50/x
3. Step 3: Cross multiply
   106,342.50x = 232,003.50 × 232,003.50
4. Step 4: Simplify right side
   106,342.50x = 53,825,624,012.25
5. Step 5: Solve for x
   x = 53,825,624,012.25/106,342.50
6. Step 6: Final answer
   x = 506,153.46