Finding the Third Proportional to 53,046 and 115,458.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,046 : 115,458.75 = 115,458.75 : x
2. Step 2: Convert to fraction form
   53,046/115,458.75 = 115,458.75/x
3. Step 3: Cross multiply
   53,046x = 115,458.75 × 115,458.75
4. Step 4: Simplify right side
   53,046x = 13,330,722,951.56
5. Step 5: Solve for x
   x = 13,330,722,951.56/53,046
6. Step 6: Final answer
   x = 251,304.96