Finding the Third Proportional to 116,823 and 264,841.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,823 : 264,841.50 = 264,841.50 : x
2. Step 2: Convert to fraction form
   116,823/264,841.50 = 264,841.50/x
3. Step 3: Cross multiply
   116,823x = 264,841.50 × 264,841.50
4. Step 4: Simplify right side
   116,823x = 70,141,020,122.25
5. Step 5: Solve for x
   x = 70,141,020,122.25/116,823
6. Step 6: Final answer
   x = 600,404.20