Finding the Third Proportional to 123,296 and 183,806

Step by Step Solution

1. Step 1: Write the proportion equation
   123,296 : 183,806 = 183,806 : x
2. Step 2: Convert to fraction form
   123,296/183,806 = 183,806/x
3. Step 3: Cross multiply
   123,296x = 183,806 × 183,806
4. Step 4: Simplify right side
   123,296x = 33,784,645,636
5. Step 5: Solve for x
   x = 33,784,645,636/123,296
6. Step 6: Final answer
   x = 274,012.50