Finding the Third Proportional to 83,846 and 124,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,846 : 124,629.50 = 124,629.50 : x
2. Step 2: Convert to fraction form
   83,846/124,629.50 = 124,629.50/x
3. Step 3: Cross multiply
   83,846x = 124,629.50 × 124,629.50
4. Step 4: Simplify right side
   83,846x = 15,532,512,270.25
5. Step 5: Solve for x
   x = 15,532,512,270.25/83,846
6. Step 6: Final answer
   x = 185,250.49