Finding the Third Proportional to 89,541 and 139,758.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,541 : 139,758.75 = 139,758.75 : x
2. Step 2: Convert to fraction form
   89,541/139,758.75 = 139,758.75/x
3. Step 3: Cross multiply
   89,541x = 139,758.75 × 139,758.75
4. Step 4: Simplify right side
   89,541x = 19,532,508,201.56
5. Step 5: Solve for x
   x = 19,532,508,201.56/89,541
6. Step 6: Final answer
   x = 218,140.38