Finding the Third Proportional to 127,197 and 186,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,197 : 186,907.50 = 186,907.50 : x
2. Step 2: Convert to fraction form
   127,197/186,907.50 = 186,907.50/x
3. Step 3: Cross multiply
   127,197x = 186,907.50 × 186,907.50
4. Step 4: Simplify right side
   127,197x = 34,934,413,556.25
5. Step 5: Solve for x
   x = 34,934,413,556.25/127,197
6. Step 6: Final answer
   x = 274,648.09