Finding the Third Proportional to 177,938 and 209,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,938 : 209,308.50 = 209,308.50 : x
2. Step 2: Convert to fraction form
   177,938/209,308.50 = 209,308.50/x
3. Step 3: Cross multiply
   177,938x = 209,308.50 × 209,308.50
4. Step 4: Simplify right side
   177,938x = 43,810,048,172.25
5. Step 5: Solve for x
   x = 43,810,048,172.25/177,938
6. Step 6: Final answer
   x = 246,209.62