Finding the Third Proportional to 196,004 and 293,460

Step by Step Solution

1. Step 1: Write the proportion equation
   196,004 : 293,460 = 293,460 : x
2. Step 2: Convert to fraction form
   196,004/293,460 = 293,460/x
3. Step 3: Cross multiply
   196,004x = 293,460 × 293,460
4. Step 4: Simplify right side
   196,004x = 86,118,771,600
5. Step 5: Solve for x
   x = 86,118,771,600/196,004
6. Step 6: Final answer
   x = 439,372.52