Finding the Third Proportional to 140,296 and 210,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,296 : 210,606.50 = 210,606.50 : x
2. Step 2: Convert to fraction form
   140,296/210,606.50 = 210,606.50/x
3. Step 3: Cross multiply
   140,296x = 210,606.50 × 210,606.50
4. Step 4: Simplify right side
   140,296x = 44,355,097,842.25
5. Step 5: Solve for x
   x = 44,355,097,842.25/140,296
6. Step 6: Final answer
   x = 316,153.69