Finding the Third Proportional to 182,367 and 293,010.75

Step by Step Solution

1. Step 1: Write the proportion equation
   182,367 : 293,010.75 = 293,010.75 : x
2. Step 2: Convert to fraction form
   182,367/293,010.75 = 293,010.75/x
3. Step 3: Cross multiply
   182,367x = 293,010.75 × 293,010.75
4. Step 4: Simplify right side
   182,367x = 85,855,299,615.56
5. Step 5: Solve for x
   x = 85,855,299,615.56/182,367
6. Step 6: Final answer
   x = 470,783.09