Finding the Third Proportional to 212,905 and 296,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,905 : 296,025.50 = 296,025.50 : x
2. Step 2: Convert to fraction form
   212,905/296,025.50 = 296,025.50/x
3. Step 3: Cross multiply
   212,905x = 296,025.50 × 296,025.50
4. Step 4: Simplify right side
   212,905x = 87,631,096,650.25
5. Step 5: Solve for x
   x = 87,631,096,650.25/212,905
6. Step 6: Final answer
   x = 411,597.18