Finding the Third Proportional to 364,509.50 and 784,897

Step by Step Solution

1. Step 1: Write the proportion equation
   364,509.50 : 784,897 = 784,897 : x
2. Step 2: Convert to fraction form
   364,509.50/784,897 = 784,897/x
3. Step 3: Cross multiply
   364,509.50x = 784,897 × 784,897
4. Step 4: Simplify right side
   364,509.50x = 616,063,300,609
5. Step 5: Solve for x
   x = 616,063,300,609/364,509.50
6. Step 6: Final answer
   x = 1,690,115.90