Finding the Third Proportional to 399,964 and 562,521

Step by Step Solution

1. Step 1: Write the proportion equation
   399,964 : 562,521 = 562,521 : x
2. Step 2: Convert to fraction form
   399,964/562,521 = 562,521/x
3. Step 3: Cross multiply
   399,964x = 562,521 × 562,521
4. Step 4: Simplify right side
   399,964x = 316,429,875,441
5. Step 5: Solve for x
   x = 316,429,875,441/399,964
6. Step 6: Final answer
   x = 791,145.89