Finding the Third Proportional to 53,014 and 112,340

Step by Step Solution

1. Step 1: Write the proportion equation
   53,014 : 112,340 = 112,340 : x
2. Step 2: Convert to fraction form
   53,014/112,340 = 112,340/x
3. Step 3: Cross multiply
   53,014x = 112,340 × 112,340
4. Step 4: Simplify right side
   53,014x = 12,620,275,600
5. Step 5: Solve for x
   x = 12,620,275,600/53,014
6. Step 6: Final answer
   x = 238,055.52