Finding the Third Proportional to 78,043.50 and 164,349

Step by Step Solution

1. Step 1: Write the proportion equation
   78,043.50 : 164,349 = 164,349 : x
2. Step 2: Convert to fraction form
   78,043.50/164,349 = 164,349/x
3. Step 3: Cross multiply
   78,043.50x = 164,349 × 164,349
4. Step 4: Simplify right side
   78,043.50x = 27,010,593,801
5. Step 5: Solve for x
   x = 27,010,593,801/78,043.50
6. Step 6: Final answer
   x = 346,096.65