Finding the Third Proportional to 53,026 and 114,178

Step by Step Solution

1. Step 1: Write the proportion equation
   53,026 : 114,178 = 114,178 : x
2. Step 2: Convert to fraction form
   53,026/114,178 = 114,178/x
3. Step 3: Cross multiply
   53,026x = 114,178 × 114,178
4. Step 4: Simplify right side
   53,026x = 13,036,615,684
5. Step 5: Solve for x
   x = 13,036,615,684/53,026
6. Step 6: Final answer
   x = 245,853.27