Finding the Third Proportional to 140,819.25 and 313,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   140,819.25 : 313,123.88 = 313,123.88 : x
2. Step 2: Convert to fraction form
   140,819.25/313,123.88 = 313,123.88/x
3. Step 3: Cross multiply
   140,819.25x = 313,123.88 × 313,123.88
4. Step 4: Simplify right side
   140,819.25x = 98,046,561,095.02
5. Step 5: Solve for x
   x = 98,046,561,095.02/140,819.25
6. Step 6: Final answer
   x = 696,258.23