Finding the Third Proportional to 51,830.50 and 113,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,830.50 : 113,041.50 = 113,041.50 : x
2. Step 2: Convert to fraction form
   51,830.50/113,041.50 = 113,041.50/x
3. Step 3: Cross multiply
   51,830.50x = 113,041.50 × 113,041.50
4. Step 4: Simplify right side
   51,830.50x = 12,778,380,722.25
5. Step 5: Solve for x
   x = 12,778,380,722.25/51,830.50
6. Step 6: Final answer
   x = 246,541.72