Finding the Third Proportional to 51,934.50 and 114,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,934.50 : 114,767.50 = 114,767.50 : x
2. Step 2: Convert to fraction form
   51,934.50/114,767.50 = 114,767.50/x
3. Step 3: Cross multiply
   51,934.50x = 114,767.50 × 114,767.50
4. Step 4: Simplify right side
   51,934.50x = 13,171,579,056.25
5. Step 5: Solve for x
   x = 13,171,579,056.25/51,934.50
6. Step 6: Final answer
   x = 253,619.06