Finding the Third Proportional to 212,109 and 296,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,109 : 296,698.50 = 296,698.50 : x
2. Step 2: Convert to fraction form
   212,109/296,698.50 = 296,698.50/x
3. Step 3: Cross multiply
   212,109x = 296,698.50 × 296,698.50
4. Step 4: Simplify right side
   212,109x = 88,029,999,902.25
5. Step 5: Solve for x
   x = 88,029,999,902.25/212,109
6. Step 6: Final answer
   x = 415,022.46