Finding the Third Proportional to 72,567 and 102,772

Step by Step Solution

1. Step 1: Write the proportion equation
   72,567 : 102,772 = 102,772 : x
2. Step 2: Convert to fraction form
   72,567/102,772 = 102,772/x
3. Step 3: Cross multiply
   72,567x = 102,772 × 102,772
4. Step 4: Simplify right side
   72,567x = 10,562,083,984
5. Step 5: Solve for x
   x = 10,562,083,984/72,567
6. Step 6: Final answer
   x = 145,549.41