Finding the Third Proportional to 52,946 and 82,323

Step by Step Solution

1. Step 1: Write the proportion equation
   52,946 : 82,323 = 82,323 : x
2. Step 2: Convert to fraction form
   52,946/82,323 = 82,323/x
3. Step 3: Cross multiply
   52,946x = 82,323 × 82,323
4. Step 4: Simplify right side
   52,946x = 6,777,076,329
5. Step 5: Solve for x
   x = 6,777,076,329/52,946
6. Step 6: Final answer
   x = 127,999.78