Finding the Third Proportional to 53,390 and 116,174

Step by Step Solution

1. Step 1: Write the proportion equation
   53,390 : 116,174 = 116,174 : x
2. Step 2: Convert to fraction form
   53,390/116,174 = 116,174/x
3. Step 3: Cross multiply
   53,390x = 116,174 × 116,174
4. Step 4: Simplify right side
   53,390x = 13,496,398,276
5. Step 5: Solve for x
   x = 13,496,398,276/53,390
6. Step 6: Final answer
   x = 252,788.88