Finding the Third Proportional to 277,505 and 413,185.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,505 : 413,185.50 = 413,185.50 : x
2. Step 2: Convert to fraction form
   277,505/413,185.50 = 413,185.50/x
3. Step 3: Cross multiply
   277,505x = 413,185.50 × 413,185.50
4. Step 4: Simplify right side
   277,505x = 170,722,257,410.25
5. Step 5: Solve for x
   x = 170,722,257,410.25/277,505
6. Step 6: Final answer
   x = 615,204.26