Finding the Third Proportional to 214,407 and 458,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,407 : 458,311.50 = 458,311.50 : x
2. Step 2: Convert to fraction form
   214,407/458,311.50 = 458,311.50/x
3. Step 3: Cross multiply
   214,407x = 458,311.50 × 458,311.50
4. Step 4: Simplify right side
   214,407x = 210,049,431,032.25
5. Step 5: Solve for x
   x = 210,049,431,032.25/214,407
6. Step 6: Final answer
   x = 979,676.18