Finding the Third Proportional to 147,024 and 214,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,024 : 214,582.50 = 214,582.50 : x
2. Step 2: Convert to fraction form
   147,024/214,582.50 = 214,582.50/x
3. Step 3: Cross multiply
   147,024x = 214,582.50 × 214,582.50
4. Step 4: Simplify right side
   147,024x = 46,045,649,306.25
5. Step 5: Solve for x
   x = 46,045,649,306.25/147,024
6. Step 6: Final answer
   x = 313,184.58