Finding the Third Proportional to 53,575 and 116,674

Step by Step Solution

1. Step 1: Write the proportion equation
   53,575 : 116,674 = 116,674 : x
2. Step 2: Convert to fraction form
   53,575/116,674 = 116,674/x
3. Step 3: Cross multiply
   53,575x = 116,674 × 116,674
4. Step 4: Simplify right side
   53,575x = 13,612,822,276
5. Step 5: Solve for x
   x = 13,612,822,276/53,575
6. Step 6: Final answer
   x = 254,089.08