Finding the Third Proportional to 212,191 and 288,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,191 : 288,349.50 = 288,349.50 : x
2. Step 2: Convert to fraction form
   212,191/288,349.50 = 288,349.50/x
3. Step 3: Cross multiply
   212,191x = 288,349.50 × 288,349.50
4. Step 4: Simplify right side
   212,191x = 83,145,434,150.25
5. Step 5: Solve for x
   x = 83,145,434,150.25/212,191
6. Step 6: Final answer
   x = 391,842.42