Finding the Third Proportional to 400,023 and 562,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   400,023 : 562,682.50 = 562,682.50 : x
2. Step 2: Convert to fraction form
   400,023/562,682.50 = 562,682.50/x
3. Step 3: Cross multiply
   400,023x = 562,682.50 × 562,682.50
4. Step 4: Simplify right side
   400,023x = 316,611,595,806.25
5. Step 5: Solve for x
   x = 316,611,595,806.25/400,023
6. Step 6: Final answer
   x = 791,483.48