Finding the Third Proportional to 53,364 and 113,298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,364 : 113,298.75 = 113,298.75 : x
2. Step 2: Convert to fraction form
   53,364/113,298.75 = 113,298.75/x
3. Step 3: Cross multiply
   53,364x = 113,298.75 × 113,298.75
4. Step 4: Simplify right side
   53,364x = 12,836,606,751.56
5. Step 5: Solve for x
   x = 12,836,606,751.56/53,364
6. Step 6: Final answer
   x = 240,548.06