Finding the Third Proportional to 146,381.50 and 319,538

Step by Step Solution

1. Step 1: Write the proportion equation
   146,381.50 : 319,538 = 319,538 : x
2. Step 2: Convert to fraction form
   146,381.50/319,538 = 319,538/x
3. Step 3: Cross multiply
   146,381.50x = 319,538 × 319,538
4. Step 4: Simplify right side
   146,381.50x = 102,104,533,444
5. Step 5: Solve for x
   x = 102,104,533,444/146,381.50
6. Step 6: Final answer
   x = 697,523.48