Finding the Third Proportional to 402,270 and 596,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,270 : 596,441.50 = 596,441.50 : x
2. Step 2: Convert to fraction form
   402,270/596,441.50 = 596,441.50/x
3. Step 3: Cross multiply
   402,270x = 596,441.50 × 596,441.50
4. Step 4: Simplify right side
   402,270x = 355,742,462,922.25
5. Step 5: Solve for x
   x = 355,742,462,922.25/402,270
6. Step 6: Final answer
   x = 884,337.54