Finding the Third Proportional to 277,507 and 413,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,507 : 413,188.50 = 413,188.50 : x
2. Step 2: Convert to fraction form
   277,507/413,188.50 = 413,188.50/x
3. Step 3: Cross multiply
   277,507x = 413,188.50 × 413,188.50
4. Step 4: Simplify right side
   277,507x = 170,724,736,532.25
5. Step 5: Solve for x
   x = 170,724,736,532.25/277,507
6. Step 6: Final answer
   x = 615,208.76