Finding the Third Proportional to 101,333.25 and 225,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,333.25 : 225,967.50 = 225,967.50 : x
2. Step 2: Convert to fraction form
   101,333.25/225,967.50 = 225,967.50/x
3. Step 3: Cross multiply
   101,333.25x = 225,967.50 × 225,967.50
4. Step 4: Simplify right side
   101,333.25x = 51,061,311,056.25
5. Step 5: Solve for x
   x = 51,061,311,056.25/101,333.25
6. Step 6: Final answer
   x = 503,894.93