Finding the Third Proportional to 491,126 and 693,222

Step by Step Solution

1. Step 1: Write the proportion equation
   491,126 : 693,222 = 693,222 : x
2. Step 2: Convert to fraction form
   491,126/693,222 = 693,222/x
3. Step 3: Cross multiply
   491,126x = 693,222 × 693,222
4. Step 4: Simplify right side
   491,126x = 480,556,741,284
5. Step 5: Solve for x
   x = 480,556,741,284/491,126
6. Step 6: Final answer
   x = 978,479.54