Finding the Third Proportional to 265,518 and 584,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,518 : 584,374.50 = 584,374.50 : x
2. Step 2: Convert to fraction form
   265,518/584,374.50 = 584,374.50/x
3. Step 3: Cross multiply
   265,518x = 584,374.50 × 584,374.50
4. Step 4: Simplify right side
   265,518x = 341,493,556,250.25
5. Step 5: Solve for x
   x = 341,493,556,250.25/265,518
6. Step 6: Final answer
   x = 1,286,140.89