Finding the Third Proportional to 65,726 and 142,523

Step by Step Solution

1. Step 1: Write the proportion equation
   65,726 : 142,523 = 142,523 : x
2. Step 2: Convert to fraction form
   65,726/142,523 = 142,523/x
3. Step 3: Cross multiply
   65,726x = 142,523 × 142,523
4. Step 4: Simplify right side
   65,726x = 20,312,805,529
5. Step 5: Solve for x
   x = 20,312,805,529/65,726
6. Step 6: Final answer
   x = 309,052.82