Finding the Third Proportional to 362,664 and 509,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,664 : 509,812.50 = 509,812.50 : x
2. Step 2: Convert to fraction form
   362,664/509,812.50 = 509,812.50/x
3. Step 3: Cross multiply
   362,664x = 509,812.50 × 509,812.50
4. Step 4: Simplify right side
   362,664x = 259,908,785,156.25
5. Step 5: Solve for x
   x = 259,908,785,156.25/362,664
6. Step 6: Final answer
   x = 716,665.52