Finding the Third Proportional to 74,196 and 111,294

Step by Step Solution

1. Step 1: Write the proportion equation
   74,196 : 111,294 = 111,294 : x
2. Step 2: Convert to fraction form
   74,196/111,294 = 111,294/x
3. Step 3: Cross multiply
   74,196x = 111,294 × 111,294
4. Step 4: Simplify right side
   74,196x = 12,386,354,436
5. Step 5: Solve for x
   x = 12,386,354,436/74,196
6. Step 6: Final answer
   x = 166,941