Finding the Third Proportional to 95,694 and 223,513

Step by Step Solution

1. Step 1: Write the proportion equation
   95,694 : 223,513 = 223,513 : x
2. Step 2: Convert to fraction form
   95,694/223,513 = 223,513/x
3. Step 3: Cross multiply
   95,694x = 223,513 × 223,513
4. Step 4: Simplify right side
   95,694x = 49,958,061,169
5. Step 5: Solve for x
   x = 49,958,061,169/95,694
6. Step 6: Final answer
   x = 522,060.54