Finding the Third Proportional to 53,308 and 108,464

Step by Step Solution

1. Step 1: Write the proportion equation
   53,308 : 108,464 = 108,464 : x
2. Step 2: Convert to fraction form
   53,308/108,464 = 108,464/x
3. Step 3: Cross multiply
   53,308x = 108,464 × 108,464
4. Step 4: Simplify right side
   53,308x = 11,764,439,296
5. Step 5: Solve for x
   x = 11,764,439,296/53,308
6. Step 6: Final answer
   x = 220,688.06