Finding the Third Proportional to 85,788 and 123,761

Step by Step Solution

1. Step 1: Write the proportion equation
   85,788 : 123,761 = 123,761 : x
2. Step 2: Convert to fraction form
   85,788/123,761 = 123,761/x
3. Step 3: Cross multiply
   85,788x = 123,761 × 123,761
4. Step 4: Simplify right side
   85,788x = 15,316,785,121
5. Step 5: Solve for x
   x = 15,316,785,121/85,788
6. Step 6: Final answer
   x = 178,542.28