Finding the Third Proportional to 123,813 and 289,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,813 : 289,300.50 = 289,300.50 : x
2. Step 2: Convert to fraction form
   123,813/289,300.50 = 289,300.50/x
3. Step 3: Cross multiply
   123,813x = 289,300.50 × 289,300.50
4. Step 4: Simplify right side
   123,813x = 83,694,779,300.25
5. Step 5: Solve for x
   x = 83,694,779,300.25/123,813
6. Step 6: Final answer
   x = 675,977.31