Finding the Third Proportional to 51,969 and 114,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,969 : 114,166.50 = 114,166.50 : x
2. Step 2: Convert to fraction form
   51,969/114,166.50 = 114,166.50/x
3. Step 3: Cross multiply
   51,969x = 114,166.50 × 114,166.50
4. Step 4: Simplify right side
   51,969x = 13,033,989,722.25
5. Step 5: Solve for x
   x = 13,033,989,722.25/51,969
6. Step 6: Final answer
   x = 250,803.17