Finding the Third Proportional to 147,952.50 and 209,349

Step by Step Solution

1. Step 1: Write the proportion equation
   147,952.50 : 209,349 = 209,349 : x
2. Step 2: Convert to fraction form
   147,952.50/209,349 = 209,349/x
3. Step 3: Cross multiply
   147,952.50x = 209,349 × 209,349
4. Step 4: Simplify right side
   147,952.50x = 43,827,003,801
5. Step 5: Solve for x
   x = 43,827,003,801/147,952.50
6. Step 6: Final answer
   x = 296,223.48