Finding the Third Proportional to 147,954 and 209,350.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,954 : 209,350.50 = 209,350.50 : x
2. Step 2: Convert to fraction form
   147,954/209,350.50 = 209,350.50/x
3. Step 3: Cross multiply
   147,954x = 209,350.50 × 209,350.50
4. Step 4: Simplify right side
   147,954x = 43,827,631,850.25
5. Step 5: Solve for x
   x = 43,827,631,850.25/147,954
6. Step 6: Final answer
   x = 296,224.72