Finding the Third Proportional to 157,491 and 212,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,491 : 212,179.50 = 212,179.50 : x
2. Step 2: Convert to fraction form
   157,491/212,179.50 = 212,179.50/x
3. Step 3: Cross multiply
   157,491x = 212,179.50 × 212,179.50
4. Step 4: Simplify right side
   157,491x = 45,020,140,220.25
5. Step 5: Solve for x
   x = 45,020,140,220.25/157,491
6. Step 6: Final answer
   x = 285,858.49