Finding the Third Proportional to 123,106 and 290,446

Step by Step Solution

1. Step 1: Write the proportion equation
   123,106 : 290,446 = 290,446 : x
2. Step 2: Convert to fraction form
   123,106/290,446 = 290,446/x
3. Step 3: Cross multiply
   123,106x = 290,446 × 290,446
4. Step 4: Simplify right side
   123,106x = 84,358,878,916
5. Step 5: Solve for x
   x = 84,358,878,916/123,106
6. Step 6: Final answer
   x = 685,254.00