Finding the Third Proportional to 261,570 and 370,222

Step by Step Solution

1. Step 1: Write the proportion equation
   261,570 : 370,222 = 370,222 : x
2. Step 2: Convert to fraction form
   261,570/370,222 = 370,222/x
3. Step 3: Cross multiply
   261,570x = 370,222 × 370,222
4. Step 4: Simplify right side
   261,570x = 137,064,329,284
5. Step 5: Solve for x
   x = 137,064,329,284/261,570
6. Step 6: Final answer
   x = 524,006.31