Finding the Third Proportional to 252,782 and 542,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,782 : 542,742.50 = 542,742.50 : x
2. Step 2: Convert to fraction form
   252,782/542,742.50 = 542,742.50/x
3. Step 3: Cross multiply
   252,782x = 542,742.50 × 542,742.50
4. Step 4: Simplify right side
   252,782x = 294,569,421,306.25
5. Step 5: Solve for x
   x = 294,569,421,306.25/252,782
6. Step 6: Final answer
   x = 1,165,310.11