Finding the Third Proportional to 359,871.75 and 764,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,871.75 : 764,023.50 = 764,023.50 : x
2. Step 2: Convert to fraction form
   359,871.75/764,023.50 = 764,023.50/x
3. Step 3: Cross multiply
   359,871.75x = 764,023.50 × 764,023.50
4. Step 4: Simplify right side
   359,871.75x = 583,731,908,552.25
5. Step 5: Solve for x
   x = 583,731,908,552.25/359,871.75
6. Step 6: Final answer
   x = 1,622,055.38