Finding the Third Proportional to 131,634 and 209,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,634 : 209,242.50 = 209,242.50 : x
2. Step 2: Convert to fraction form
   131,634/209,242.50 = 209,242.50/x
3. Step 3: Cross multiply
   131,634x = 209,242.50 × 209,242.50
4. Step 4: Simplify right side
   131,634x = 43,782,423,806.25
5. Step 5: Solve for x
   x = 43,782,423,806.25/131,634
6. Step 6: Final answer
   x = 332,607.26