Finding the Third Proportional to 146,378 and 326,412.88

Step by Step Solution

1. Step 1: Write the proportion equation
   146,378 : 326,412.88 = 326,412.88 : x
2. Step 2: Convert to fraction form
   146,378/326,412.88 = 326,412.88/x
3. Step 3: Cross multiply
   146,378x = 326,412.88 × 326,412.88
4. Step 4: Simplify right side
   146,378x = 106,545,364,965.77
5. Step 5: Solve for x
   x = 106,545,364,965.77/146,378
6. Step 6: Final answer
   x = 727,878.27