Finding the Third Proportional to 121,978.69 and 293,496.19

Step by Step Solution

1. Step 1: Write the proportion equation
   121,978.69 : 293,496.19 = 293,496.19 : x
2. Step 2: Convert to fraction form
   121,978.69/293,496.19 = 293,496.19/x
3. Step 3: Cross multiply
   121,978.69x = 293,496.19 × 293,496.19
4. Step 4: Simplify right side
   121,978.69x = 86,140,012,077.04
5. Step 5: Solve for x
   x = 86,140,012,077.04/121,978.69
6. Step 6: Final answer
   x = 706,189.04