Finding the Third Proportional to 295,233 and 458,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,233 : 458,401.50 = 458,401.50 : x
2. Step 2: Convert to fraction form
   295,233/458,401.50 = 458,401.50/x
3. Step 3: Cross multiply
   295,233x = 458,401.50 × 458,401.50
4. Step 4: Simplify right side
   295,233x = 210,131,935,202.25
5. Step 5: Solve for x
   x = 210,131,935,202.25/295,233
6. Step 6: Final answer
   x = 711,749.48