Finding the Third Proportional to 91,644 and 141,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,644 : 141,898.50 = 141,898.50 : x
2. Step 2: Convert to fraction form
   91,644/141,898.50 = 141,898.50/x
3. Step 3: Cross multiply
   91,644x = 141,898.50 × 141,898.50
4. Step 4: Simplify right side
   91,644x = 20,135,184,302.25
5. Step 5: Solve for x
   x = 20,135,184,302.25/91,644
6. Step 6: Final answer
   x = 219,710.88