Finding the Third Proportional to 212,895 and 296,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,895 : 296,014.50 = 296,014.50 : x
2. Step 2: Convert to fraction form
   212,895/296,014.50 = 296,014.50/x
3. Step 3: Cross multiply
   212,895x = 296,014.50 × 296,014.50
4. Step 4: Simplify right side
   212,895x = 87,624,584,210.25
5. Step 5: Solve for x
   x = 87,624,584,210.25/212,895
6. Step 6: Final answer
   x = 411,585.92