Finding the Third Proportional to 152,655 and 223,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,655 : 223,513.50 = 223,513.50 : x
2. Step 2: Convert to fraction form
   152,655/223,513.50 = 223,513.50/x
3. Step 3: Cross multiply
   152,655x = 223,513.50 × 223,513.50
4. Step 4: Simplify right side
   152,655x = 49,958,284,682.25
5. Step 5: Solve for x
   x = 49,958,284,682.25/152,655
6. Step 6: Final answer
   x = 327,262.68