Finding the Third Proportional to 252,747 and 380,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,747 : 380,146.50 = 380,146.50 : x
2. Step 2: Convert to fraction form
   252,747/380,146.50 = 380,146.50/x
3. Step 3: Cross multiply
   252,747x = 380,146.50 × 380,146.50
4. Step 4: Simplify right side
   252,747x = 144,511,361,462.25
5. Step 5: Solve for x
   x = 144,511,361,462.25/252,747
6. Step 6: Final answer
   x = 571,762.91