Finding the Third Proportional to 72,538 and 110,970

Step by Step Solution

1. Step 1: Write the proportion equation
   72,538 : 110,970 = 110,970 : x
2. Step 2: Convert to fraction form
   72,538/110,970 = 110,970/x
3. Step 3: Cross multiply
   72,538x = 110,970 × 110,970
4. Step 4: Simplify right side
   72,538x = 12,314,340,900
5. Step 5: Solve for x
   x = 12,314,340,900/72,538
6. Step 6: Final answer
   x = 169,764.00