Finding the Third Proportional to 87,644 and 191,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,644 : 191,872.50 = 191,872.50 : x
2. Step 2: Convert to fraction form
   87,644/191,872.50 = 191,872.50/x
3. Step 3: Cross multiply
   87,644x = 191,872.50 × 191,872.50
4. Step 4: Simplify right side
   87,644x = 36,815,056,256.25
5. Step 5: Solve for x
   x = 36,815,056,256.25/87,644
6. Step 6: Final answer
   x = 420,052.21