Finding the Third Proportional to 253,527 and 379,500

Step by Step Solution

1. Step 1: Write the proportion equation
   253,527 : 379,500 = 379,500 : x
2. Step 2: Convert to fraction form
   253,527/379,500 = 379,500/x
3. Step 3: Cross multiply
   253,527x = 379,500 × 379,500
4. Step 4: Simplify right side
   253,527x = 144,020,250,000
5. Step 5: Solve for x
   x = 144,020,250,000/253,527
6. Step 6: Final answer
   x = 568,066.71