Finding the Third Proportional to 214,421 and 314,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,421 : 314,469.50 = 314,469.50 : x
2. Step 2: Convert to fraction form
   214,421/314,469.50 = 314,469.50/x
3. Step 3: Cross multiply
   214,421x = 314,469.50 × 314,469.50
4. Step 4: Simplify right side
   214,421x = 98,891,066,430.25
5. Step 5: Solve for x
   x = 98,891,066,430.25/214,421
6. Step 6: Final answer
   x = 461,200.47