Finding the Third Proportional to 219,897 and 334,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,897 : 334,021.50 = 334,021.50 : x
2. Step 2: Convert to fraction form
   219,897/334,021.50 = 334,021.50/x
3. Step 3: Cross multiply
   219,897x = 334,021.50 × 334,021.50
4. Step 4: Simplify right side
   219,897x = 111,570,362,462.25
5. Step 5: Solve for x
   x = 111,570,362,462.25/219,897
6. Step 6: Final answer
   x = 507,375.56