Finding the Third Proportional to 53,460 and 108,216

Step by Step Solution

1. Step 1: Write the proportion equation
   53,460 : 108,216 = 108,216 : x
2. Step 2: Convert to fraction form
   53,460/108,216 = 108,216/x
3. Step 3: Cross multiply
   53,460x = 108,216 × 108,216
4. Step 4: Simplify right side
   53,460x = 11,710,702,656
5. Step 5: Solve for x
   x = 11,710,702,656/53,460
6. Step 6: Final answer
   x = 219,055.42