Finding the Third Proportional to 154,581 and 335,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,581 : 335,599.50 = 335,599.50 : x
2. Step 2: Convert to fraction form
   154,581/335,599.50 = 335,599.50/x
3. Step 3: Cross multiply
   154,581x = 335,599.50 × 335,599.50
4. Step 4: Simplify right side
   154,581x = 112,627,024,400.25
5. Step 5: Solve for x
   x = 112,627,024,400.25/154,581
6. Step 6: Final answer
   x = 728,595.52