Finding the Third Proportional to 81,772 and 123,064

Step by Step Solution

1. Step 1: Write the proportion equation
   81,772 : 123,064 = 123,064 : x
2. Step 2: Convert to fraction form
   81,772/123,064 = 123,064/x
3. Step 3: Cross multiply
   81,772x = 123,064 × 123,064
4. Step 4: Simplify right side
   81,772x = 15,144,748,096
5. Step 5: Solve for x
   x = 15,144,748,096/81,772
6. Step 6: Final answer
   x = 185,207.02