Finding the Third Proportional to 87,975 and 212,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,975 : 212,647.50 = 212,647.50 : x
2. Step 2: Convert to fraction form
   87,975/212,647.50 = 212,647.50/x
3. Step 3: Cross multiply
   87,975x = 212,647.50 × 212,647.50
4. Step 4: Simplify right side
   87,975x = 45,218,959,256.25
5. Step 5: Solve for x
   x = 45,218,959,256.25/87,975
6. Step 6: Final answer
   x = 513,997.83