Finding the Third Proportional to 362,673 and 509,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,673 : 509,827.50 = 509,827.50 : x
2. Step 2: Convert to fraction form
   362,673/509,827.50 = 509,827.50/x
3. Step 3: Cross multiply
   362,673x = 509,827.50 × 509,827.50
4. Step 4: Simplify right side
   362,673x = 259,924,079,756.25
5. Step 5: Solve for x
   x = 259,924,079,756.25/362,673
6. Step 6: Final answer
   x = 716,689.91