Finding the Third Proportional to 127,172 and 188,598

Step by Step Solution

1. Step 1: Write the proportion equation
   127,172 : 188,598 = 188,598 : x
2. Step 2: Convert to fraction form
   127,172/188,598 = 188,598/x
3. Step 3: Cross multiply
   127,172x = 188,598 × 188,598
4. Step 4: Simplify right side
   127,172x = 35,569,205,604
5. Step 5: Solve for x
   x = 35,569,205,604/127,172
6. Step 6: Final answer
   x = 279,693.69