Finding the Third Proportional to 252,304 and 379,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   252,304 : 379,509.50 = 379,509.50 : x
2. Step 2: Convert to fraction form
   252,304/379,509.50 = 379,509.50/x
3. Step 3: Cross multiply
   252,304x = 379,509.50 × 379,509.50
4. Step 4: Simplify right side
   252,304x = 144,027,460,590.25
5. Step 5: Solve for x
   x = 144,027,460,590.25/252,304
6. Step 6: Final answer
   x = 570,848.90