Finding the Third Proportional to 364,932 and 784,200

Step by Step Solution

1. Step 1: Write the proportion equation
   364,932 : 784,200 = 784,200 : x
2. Step 2: Convert to fraction form
   364,932/784,200 = 784,200/x
3. Step 3: Cross multiply
   364,932x = 784,200 × 784,200
4. Step 4: Simplify right side
   364,932x = 614,969,640,000
5. Step 5: Solve for x
   x = 614,969,640,000/364,932
6. Step 6: Final answer
   x = 1,685,162.28