Finding the Third Proportional to 277,875 and 430,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,875 : 430,540.50 = 430,540.50 : x
2. Step 2: Convert to fraction form
   277,875/430,540.50 = 430,540.50/x
3. Step 3: Cross multiply
   277,875x = 430,540.50 × 430,540.50
4. Step 4: Simplify right side
   277,875x = 185,365,122,140.25
5. Step 5: Solve for x
   x = 185,365,122,140.25/277,875
6. Step 6: Final answer
   x = 667,080.96