Finding the Third Proportional to 152,709.75 and 233,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,709.75 : 233,014.50 = 233,014.50 : x
2. Step 2: Convert to fraction form
   152,709.75/233,014.50 = 233,014.50/x
3. Step 3: Cross multiply
   152,709.75x = 233,014.50 × 233,014.50
4. Step 4: Simplify right side
   152,709.75x = 54,295,757,210.25
5. Step 5: Solve for x
   x = 54,295,757,210.25/152,709.75
6. Step 6: Final answer
   x = 355,548.73