Finding the Third Proportional to 72,582 and 109,968

Step by Step Solution

1. Step 1: Write the proportion equation
   72,582 : 109,968 = 109,968 : x
2. Step 2: Convert to fraction form
   72,582/109,968 = 109,968/x
3. Step 3: Cross multiply
   72,582x = 109,968 × 109,968
4. Step 4: Simplify right side
   72,582x = 12,092,961,024
5. Step 5: Solve for x
   x = 12,092,961,024/72,582
6. Step 6: Final answer
   x = 166,611.02