Finding the Third Proportional to 277,114.50 and 405,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,114.50 : 405,799.50 = 405,799.50 : x
2. Step 2: Convert to fraction form
   277,114.50/405,799.50 = 405,799.50/x
3. Step 3: Cross multiply
   277,114.50x = 405,799.50 × 405,799.50
4. Step 4: Simplify right side
   277,114.50x = 164,673,234,200.25
5. Step 5: Solve for x
   x = 164,673,234,200.25/277,114.50
6. Step 6: Final answer
   x = 594,242.58