Finding the Third Proportional to 147,966 and 209,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,966 : 209,368.50 = 209,368.50 : x
2. Step 2: Convert to fraction form
   147,966/209,368.50 = 209,368.50/x
3. Step 3: Cross multiply
   147,966x = 209,368.50 × 209,368.50
4. Step 4: Simplify right side
   147,966x = 43,835,168,792.25
5. Step 5: Solve for x
   x = 43,835,168,792.25/147,966
6. Step 6: Final answer
   x = 296,251.63