Finding the Third Proportional to 116,024 and 245,776

Step by Step Solution

1. Step 1: Write the proportion equation
   116,024 : 245,776 = 245,776 : x
2. Step 2: Convert to fraction form
   116,024/245,776 = 245,776/x
3. Step 3: Cross multiply
   116,024x = 245,776 × 245,776
4. Step 4: Simplify right side
   116,024x = 60,405,842,176
5. Step 5: Solve for x
   x = 60,405,842,176/116,024
6. Step 6: Final answer
   x = 520,632.30