Finding the Third Proportional to 452,743.50 and 612,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   452,743.50 : 612,683.25 = 612,683.25 : x
2. Step 2: Convert to fraction form
   452,743.50/612,683.25 = 612,683.25/x
3. Step 3: Cross multiply
   452,743.50x = 612,683.25 × 612,683.25
4. Step 4: Simplify right side
   452,743.50x = 375,380,764,830.56
5. Step 5: Solve for x
   x = 375,380,764,830.56/452,743.50
6. Step 6: Final answer
   x = 829,124.58