Finding the Third Proportional to 364,851.50 and 783,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   364,851.50 : 783,648.50 = 783,648.50 : x
2. Step 2: Convert to fraction form
   364,851.50/783,648.50 = 783,648.50/x
3. Step 3: Cross multiply
   364,851.50x = 783,648.50 × 783,648.50
4. Step 4: Simplify right side
   364,851.50x = 614,104,971,552.25
5. Step 5: Solve for x
   x = 614,104,971,552.25/364,851.50
6. Step 6: Final answer
   x = 1,683,164.17