Finding the Third Proportional to 146,169 and 319,675.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,169 : 319,675.50 = 319,675.50 : x
2. Step 2: Convert to fraction form
   146,169/319,675.50 = 319,675.50/x
3. Step 3: Cross multiply
   146,169x = 319,675.50 × 319,675.50
4. Step 4: Simplify right side
   146,169x = 102,192,425,300.25
5. Step 5: Solve for x
   x = 102,192,425,300.25/146,169
6. Step 6: Final answer
   x = 699,138.84