Finding the Third Proportional to 65,816 and 143,312

Step by Step Solution

1. Step 1: Write the proportion equation
   65,816 : 143,312 = 143,312 : x
2. Step 2: Convert to fraction form
   65,816/143,312 = 143,312/x
3. Step 3: Cross multiply
   65,816x = 143,312 × 143,312
4. Step 4: Simplify right side
   65,816x = 20,538,329,344
5. Step 5: Solve for x
   x = 20,538,329,344/65,816
6. Step 6: Final answer
   x = 312,056.78