Finding the Third Proportional to 138,704 and 298,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,704 : 298,474.50 = 298,474.50 : x
2. Step 2: Convert to fraction form
   138,704/298,474.50 = 298,474.50/x
3. Step 3: Cross multiply
   138,704x = 298,474.50 × 298,474.50
4. Step 4: Simplify right side
   138,704x = 89,087,027,150.25
5. Step 5: Solve for x
   x = 89,087,027,150.25/138,704
6. Step 6: Final answer
   x = 642,281.60