Finding the Third Proportional to 69,294 and 111,597

Step by Step Solution

1. Step 1: Write the proportion equation
   69,294 : 111,597 = 111,597 : x
2. Step 2: Convert to fraction form
   69,294/111,597 = 111,597/x
3. Step 3: Cross multiply
   69,294x = 111,597 × 111,597
4. Step 4: Simplify right side
   69,294x = 12,453,890,409
5. Step 5: Solve for x
   x = 12,453,890,409/69,294
6. Step 6: Final answer
   x = 179,725.38