Finding the Third Proportional to 81,732 and 123,069

Step by Step Solution

1. Step 1: Write the proportion equation
   81,732 : 123,069 = 123,069 : x
2. Step 2: Convert to fraction form
   81,732/123,069 = 123,069/x
3. Step 3: Cross multiply
   81,732x = 123,069 × 123,069
4. Step 4: Simplify right side
   81,732x = 15,145,978,761
5. Step 5: Solve for x
   x = 15,145,978,761/81,732
6. Step 6: Final answer
   x = 185,312.71