Finding the Third Proportional to 53,522 and 111,292

Step by Step Solution

1. Step 1: Write the proportion equation
   53,522 : 111,292 = 111,292 : x
2. Step 2: Convert to fraction form
   53,522/111,292 = 111,292/x
3. Step 3: Cross multiply
   53,522x = 111,292 × 111,292
4. Step 4: Simplify right side
   53,522x = 12,385,909,264
5. Step 5: Solve for x
   x = 12,385,909,264/53,522
6. Step 6: Final answer
   x = 231,417.16