Finding the Third Proportional to 147,111.75 and 317,549.25

Step by Step Solution

1. Step 1: Write the proportion equation
   147,111.75 : 317,549.25 = 317,549.25 : x
2. Step 2: Convert to fraction form
   147,111.75/317,549.25 = 317,549.25/x
3. Step 3: Cross multiply
   147,111.75x = 317,549.25 × 317,549.25
4. Step 4: Simplify right side
   147,111.75x = 100,837,526,175.56
5. Step 5: Solve for x
   x = 100,837,526,175.56/147,111.75
6. Step 6: Final answer
   x = 685,448.49