Finding the Third Proportional to 120,624 and 257,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,624 : 257,812.50 = 257,812.50 : x
2. Step 2: Convert to fraction form
   120,624/257,812.50 = 257,812.50/x
3. Step 3: Cross multiply
   120,624x = 257,812.50 × 257,812.50
4. Step 4: Simplify right side
   120,624x = 66,467,285,156.25
5. Step 5: Solve for x
   x = 66,467,285,156.25/120,624
6. Step 6: Final answer
   x = 551,028.69