Finding the Third Proportional to 312,942 and 469,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,942 : 469,198.50 = 469,198.50 : x
2. Step 2: Convert to fraction form
   312,942/469,198.50 = 469,198.50/x
3. Step 3: Cross multiply
   312,942x = 469,198.50 × 469,198.50
4. Step 4: Simplify right side
   312,942x = 220,147,232,402.25
5. Step 5: Solve for x
   x = 220,147,232,402.25/312,942
6. Step 6: Final answer
   x = 703,476.15