Finding the Third Proportional to 53,140 and 111,788

Step by Step Solution

1. Step 1: Write the proportion equation
   53,140 : 111,788 = 111,788 : x
2. Step 2: Convert to fraction form
   53,140/111,788 = 111,788/x
3. Step 3: Cross multiply
   53,140x = 111,788 × 111,788
4. Step 4: Simplify right side
   53,140x = 12,496,556,944
5. Step 5: Solve for x
   x = 12,496,556,944/53,140
6. Step 6: Final answer
   x = 235,162.91