Finding the Third Proportional to 53,375 and 116,146

Step by Step Solution

1. Step 1: Write the proportion equation
   53,375 : 116,146 = 116,146 : x
2. Step 2: Convert to fraction form
   53,375/116,146 = 116,146/x
3. Step 3: Cross multiply
   53,375x = 116,146 × 116,146
4. Step 4: Simplify right side
   53,375x = 13,489,893,316
5. Step 5: Solve for x
   x = 13,489,893,316/53,375
6. Step 6: Final answer
   x = 252,738.05