Finding the Third Proportional to 53,178 and 116,015

Step by Step Solution

1. Step 1: Write the proportion equation
   53,178 : 116,015 = 116,015 : x
2. Step 2: Convert to fraction form
   53,178/116,015 = 116,015/x
3. Step 3: Cross multiply
   53,178x = 116,015 × 116,015
4. Step 4: Simplify right side
   53,178x = 13,459,480,225
5. Step 5: Solve for x
   x = 13,459,480,225/53,178
6. Step 6: Final answer
   x = 253,102.42