Finding the Third Proportional to 212,887 and 296,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,887 : 296,002.50 = 296,002.50 : x
2. Step 2: Convert to fraction form
   212,887/296,002.50 = 296,002.50/x
3. Step 3: Cross multiply
   212,887x = 296,002.50 × 296,002.50
4. Step 4: Simplify right side
   212,887x = 87,617,480,006.25
5. Step 5: Solve for x
   x = 87,617,480,006.25/212,887
6. Step 6: Final answer
   x = 411,568.01