Finding the Third Proportional to 53,278 and 111,658

Step by Step Solution

1. Step 1: Write the proportion equation
   53,278 : 111,658 = 111,658 : x
2. Step 2: Convert to fraction form
   53,278/111,658 = 111,658/x
3. Step 3: Cross multiply
   53,278x = 111,658 × 111,658
4. Step 4: Simplify right side
   53,278x = 12,467,508,964
5. Step 5: Solve for x
   x = 12,467,508,964/53,278
6. Step 6: Final answer
   x = 234,008.58