Finding the Third Proportional to 152,939.75 and 333,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,939.75 : 333,527.50 = 333,527.50 : x
2. Step 2: Convert to fraction form
   152,939.75/333,527.50 = 333,527.50/x
3. Step 3: Cross multiply
   152,939.75x = 333,527.50 × 333,527.50
4. Step 4: Simplify right side
   152,939.75x = 111,240,593,256.25
5. Step 5: Solve for x
   x = 111,240,593,256.25/152,939.75
6. Step 6: Final answer
   x = 727,349.12