Finding the Third Proportional to 127,599 and 274,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,599 : 274,696.50 = 274,696.50 : x
2. Step 2: Convert to fraction form
   127,599/274,696.50 = 274,696.50/x
3. Step 3: Cross multiply
   127,599x = 274,696.50 × 274,696.50
4. Step 4: Simplify right side
   127,599x = 75,458,167,112.25
5. Step 5: Solve for x
   x = 75,458,167,112.25/127,599
6. Step 6: Final answer
   x = 591,369.58