Finding the Third Proportional to 53,054 and 114,412

Step by Step Solution

1. Step 1: Write the proportion equation
   53,054 : 114,412 = 114,412 : x
2. Step 2: Convert to fraction form
   53,054/114,412 = 114,412/x
3. Step 3: Cross multiply
   53,054x = 114,412 × 114,412
4. Step 4: Simplify right side
   53,054x = 13,090,105,744
5. Step 5: Solve for x
   x = 13,090,105,744/53,054
6. Step 6: Final answer
   x = 246,731.74