Finding the Third Proportional to 43,761 and 89,126.25

Step by Step Solution

1. Step 1: Write the proportion equation
   43,761 : 89,126.25 = 89,126.25 : x
2. Step 2: Convert to fraction form
   43,761/89,126.25 = 89,126.25/x
3. Step 3: Cross multiply
   43,761x = 89,126.25 × 89,126.25
4. Step 4: Simplify right side
   43,761x = 7,943,488,439.06
5. Step 5: Solve for x
   x = 7,943,488,439.06/43,761
6. Step 6: Final answer
   x = 181,519.81