Finding the Third Proportional to 85,787 and 123,760

Step by Step Solution

1. Step 1: Write the proportion equation
   85,787 : 123,760 = 123,760 : x
2. Step 2: Convert to fraction form
   85,787/123,760 = 123,760/x
3. Step 3: Cross multiply
   85,787x = 123,760 × 123,760
4. Step 4: Simplify right side
   85,787x = 15,316,537,600
5. Step 5: Solve for x
   x = 15,316,537,600/85,787
6. Step 6: Final answer
   x = 178,541.48