Finding the Third Proportional to 147,960 and 209,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,960 : 209,359.50 = 209,359.50 : x
2. Step 2: Convert to fraction form
   147,960/209,359.50 = 209,359.50/x
3. Step 3: Cross multiply
   147,960x = 209,359.50 × 209,359.50
4. Step 4: Simplify right side
   147,960x = 43,831,400,240.25
5. Step 5: Solve for x
   x = 43,831,400,240.25/147,960
6. Step 6: Final answer
   x = 296,238.17