Finding the Third Proportional to 53,345 and 116,290

Step by Step Solution

1. Step 1: Write the proportion equation
   53,345 : 116,290 = 116,290 : x
2. Step 2: Convert to fraction form
   53,345/116,290 = 116,290/x
3. Step 3: Cross multiply
   53,345x = 116,290 × 116,290
4. Step 4: Simplify right side
   53,345x = 13,523,364,100
5. Step 5: Solve for x
   x = 13,523,364,100/53,345
6. Step 6: Final answer
   x = 253,507.62