Finding the Third Proportional to 277,506 and 597,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,506 : 597,172.50 = 597,172.50 : x
2. Step 2: Convert to fraction form
   277,506/597,172.50 = 597,172.50/x
3. Step 3: Cross multiply
   277,506x = 597,172.50 × 597,172.50
4. Step 4: Simplify right side
   277,506x = 356,614,994,756.25
5. Step 5: Solve for x
   x = 356,614,994,756.25/277,506
6. Step 6: Final answer
   x = 1,285,071.29