Finding the Third Proportional to 146,411.25 and 319,674

Step by Step Solution

1. Step 1: Write the proportion equation
   146,411.25 : 319,674 = 319,674 : x
2. Step 2: Convert to fraction form
   146,411.25/319,674 = 319,674/x
3. Step 3: Cross multiply
   146,411.25x = 319,674 × 319,674
4. Step 4: Simplify right side
   146,411.25x = 102,191,466,276
5. Step 5: Solve for x
   x = 102,191,466,276/146,411.25
6. Step 6: Final answer
   x = 697,975.51