Finding the Third Proportional to 212,877 and 295,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,877 : 295,987.50 = 295,987.50 : x
2. Step 2: Convert to fraction form
   212,877/295,987.50 = 295,987.50/x
3. Step 3: Cross multiply
   212,877x = 295,987.50 × 295,987.50
4. Step 4: Simplify right side
   212,877x = 87,608,600,156.25
5. Step 5: Solve for x
   x = 87,608,600,156.25/212,877
6. Step 6: Final answer
   x = 411,545.64