Finding the Third Proportional to 53,224 and 116,172

Step by Step Solution

1. Step 1: Write the proportion equation
   53,224 : 116,172 = 116,172 : x
2. Step 2: Convert to fraction form
   53,224/116,172 = 116,172/x
3. Step 3: Cross multiply
   53,224x = 116,172 × 116,172
4. Step 4: Simplify right side
   53,224x = 13,495,933,584
5. Step 5: Solve for x
   x = 13,495,933,584/53,224
6. Step 6: Final answer
   x = 253,568.57