Finding the Third Proportional to 140,191.50 and 308,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,191.50 : 308,419.50 = 308,419.50 : x
2. Step 2: Convert to fraction form
   140,191.50/308,419.50 = 308,419.50/x
3. Step 3: Cross multiply
   140,191.50x = 308,419.50 × 308,419.50
4. Step 4: Simplify right side
   140,191.50x = 95,122,587,980.25
5. Step 5: Solve for x
   x = 95,122,587,980.25/140,191.50
6. Step 6: Final answer
   x = 678,518.94