Finding the Third Proportional to 53,581 and 116,389

Step by Step Solution

1. Step 1: Write the proportion equation
   53,581 : 116,389 = 116,389 : x
2. Step 2: Convert to fraction form
   53,581/116,389 = 116,389/x
3. Step 3: Cross multiply
   53,581x = 116,389 × 116,389
4. Step 4: Simplify right side
   53,581x = 13,546,399,321
5. Step 5: Solve for x
   x = 13,546,399,321/53,581
6. Step 6: Final answer
   x = 252,820.95