Finding the Third Proportional to 200,892 and 293,796

Step by Step Solution

1. Step 1: Write the proportion equation
   200,892 : 293,796 = 293,796 : x
2. Step 2: Convert to fraction form
   200,892/293,796 = 293,796/x
3. Step 3: Cross multiply
   200,892x = 293,796 × 293,796
4. Step 4: Simplify right side
   200,892x = 86,316,089,616
5. Step 5: Solve for x
   x = 86,316,089,616/200,892
6. Step 6: Final answer
   x = 429,664.15