Finding the Third Proportional to 364,323 and 509,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,323 : 509,463.50 = 509,463.50 : x
2. Step 2: Convert to fraction form
   364,323/509,463.50 = 509,463.50/x
3. Step 3: Cross multiply
   364,323x = 509,463.50 × 509,463.50
4. Step 4: Simplify right side
   364,323x = 259,553,057,832.25
5. Step 5: Solve for x
   x = 259,553,057,832.25/364,323
6. Step 6: Final answer
   x = 712,425.67