Finding the Third Proportional to 166,323 and 295,710

Step by Step Solution

1. Step 1: Write the proportion equation
   166,323 : 295,710 = 295,710 : x
2. Step 2: Convert to fraction form
   166,323/295,710 = 295,710/x
3. Step 3: Cross multiply
   166,323x = 295,710 × 295,710
4. Step 4: Simplify right side
   166,323x = 87,444,404,100
5. Step 5: Solve for x
   x = 87,444,404,100/166,323
6. Step 6: Final answer
   x = 525,750.52