Finding the Third Proportional to 153,838.50 and 333,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,838.50 : 333,907.50 = 333,907.50 : x
2. Step 2: Convert to fraction form
   153,838.50/333,907.50 = 333,907.50/x
3. Step 3: Cross multiply
   153,838.50x = 333,907.50 × 333,907.50
4. Step 4: Simplify right side
   153,838.50x = 111,494,218,556.25
5. Step 5: Solve for x
   x = 111,494,218,556.25/153,838.50
6. Step 6: Final answer
   x = 724,748.48