Finding the Third Proportional to 312,277.50 and 493,992

Step by Step Solution

1. Step 1: Write the proportion equation
   312,277.50 : 493,992 = 493,992 : x
2. Step 2: Convert to fraction form
   312,277.50/493,992 = 493,992/x
3. Step 3: Cross multiply
   312,277.50x = 493,992 × 493,992
4. Step 4: Simplify right side
   312,277.50x = 244,028,096,064
5. Step 5: Solve for x
   x = 244,028,096,064/312,277.50
6. Step 6: Final answer
   x = 781,446.30