Finding the Third Proportional to 152,401.50 and 229,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,401.50 : 229,027.50 = 229,027.50 : x
2. Step 2: Convert to fraction form
   152,401.50/229,027.50 = 229,027.50/x
3. Step 3: Cross multiply
   152,401.50x = 229,027.50 × 229,027.50
4. Step 4: Simplify right side
   152,401.50x = 52,453,595,756.25
5. Step 5: Solve for x
   x = 52,453,595,756.25/152,401.50
6. Step 6: Final answer
   x = 344,180.31