Finding the Third Proportional to 146,152.50 and 214,044.75

Step by Step Solution

1. Step 1: Write the proportion equation
   146,152.50 : 214,044.75 = 214,044.75 : x
2. Step 2: Convert to fraction form
   146,152.50/214,044.75 = 214,044.75/x
3. Step 3: Cross multiply
   146,152.50x = 214,044.75 × 214,044.75
4. Step 4: Simplify right side
   146,152.50x = 45,815,155,002.56
5. Step 5: Solve for x
   x = 45,815,155,002.56/146,152.50
6. Step 6: Final answer
   x = 313,475.00