Finding the Third Proportional to 53,646 and 114,222

Step by Step Solution

1. Step 1: Write the proportion equation
   53,646 : 114,222 = 114,222 : x
2. Step 2: Convert to fraction form
   53,646/114,222 = 114,222/x
3. Step 3: Cross multiply
   53,646x = 114,222 × 114,222
4. Step 4: Simplify right side
   53,646x = 13,046,665,284
5. Step 5: Solve for x
   x = 13,046,665,284/53,646
6. Step 6: Final answer
   x = 243,199.22