Finding the Third Proportional to 123,441 and 186,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,441 : 186,892.50 = 186,892.50 : x
2. Step 2: Convert to fraction form
   123,441/186,892.50 = 186,892.50/x
3. Step 3: Cross multiply
   123,441x = 186,892.50 × 186,892.50
4. Step 4: Simplify right side
   123,441x = 34,928,806,556.25
5. Step 5: Solve for x
   x = 34,928,806,556.25/123,441
6. Step 6: Final answer
   x = 282,959.52