Finding the Third Proportional to 65,479 and 140,516

Step by Step Solution

1. Step 1: Write the proportion equation
   65,479 : 140,516 = 140,516 : x
2. Step 2: Convert to fraction form
   65,479/140,516 = 140,516/x
3. Step 3: Cross multiply
   65,479x = 140,516 × 140,516
4. Step 4: Simplify right side
   65,479x = 19,744,746,256
5. Step 5: Solve for x
   x = 19,744,746,256/65,479
6. Step 6: Final answer
   x = 301,543.19