Finding the Third Proportional to 386,064 and 556,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,064 : 556,945.50 = 556,945.50 : x
2. Step 2: Convert to fraction form
   386,064/556,945.50 = 556,945.50/x
3. Step 3: Cross multiply
   386,064x = 556,945.50 × 556,945.50
4. Step 4: Simplify right side
   386,064x = 310,188,289,970.25
5. Step 5: Solve for x
   x = 310,188,289,970.25/386,064
6. Step 6: Final answer
   x = 803,463.39