Finding the Third Proportional to 364,333.50 and 509,478

Step by Step Solution

1. Step 1: Write the proportion equation
   364,333.50 : 509,478 = 509,478 : x
2. Step 2: Convert to fraction form
   364,333.50/509,478 = 509,478/x
3. Step 3: Cross multiply
   364,333.50x = 509,478 × 509,478
4. Step 4: Simplify right side
   364,333.50x = 259,567,832,484
5. Step 5: Solve for x
   x = 259,567,832,484/364,333.50
6. Step 6: Final answer
   x = 712,445.69