Finding the Third Proportional to 212,410.50 and 296,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,410.50 : 296,983.50 = 296,983.50 : x
2. Step 2: Convert to fraction form
   212,410.50/296,983.50 = 296,983.50/x
3. Step 3: Cross multiply
   212,410.50x = 296,983.50 × 296,983.50
4. Step 4: Simplify right side
   212,410.50x = 88,199,199,272.25
5. Step 5: Solve for x
   x = 88,199,199,272.25/212,410.50
6. Step 6: Final answer
   x = 415,229.94