Finding the Third Proportional to 120,402 and 263,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,402 : 263,641.50 = 263,641.50 : x
2. Step 2: Convert to fraction form
   120,402/263,641.50 = 263,641.50/x
3. Step 3: Cross multiply
   120,402x = 263,641.50 × 263,641.50
4. Step 4: Simplify right side
   120,402x = 69,506,840,522.25
5. Step 5: Solve for x
   x = 69,506,840,522.25/120,402
6. Step 6: Final answer
   x = 577,289.75