Finding the Third Proportional to 152,647 and 223,502

Step by Step Solution

1. Step 1: Write the proportion equation
   152,647 : 223,502 = 223,502 : x
2. Step 2: Convert to fraction form
   152,647/223,502 = 223,502/x
3. Step 3: Cross multiply
   152,647x = 223,502 × 223,502
4. Step 4: Simplify right side
   152,647x = 49,953,144,004
5. Step 5: Solve for x
   x = 49,953,144,004/152,647
6. Step 6: Final answer
   x = 327,246.16