Finding the Third Proportional to 140,109.75 and 309,656.25

Step by Step Solution

1. Step 1: Write the proportion equation
   140,109.75 : 309,656.25 = 309,656.25 : x
2. Step 2: Convert to fraction form
   140,109.75/309,656.25 = 309,656.25/x
3. Step 3: Cross multiply
   140,109.75x = 309,656.25 × 309,656.25
4. Step 4: Simplify right side
   140,109.75x = 95,886,993,164.06
5. Step 5: Solve for x
   x = 95,886,993,164.06/140,109.75
6. Step 6: Final answer
   x = 684,370.60