Finding the Third Proportional to 140,975 and 207,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,975 : 207,567.50 = 207,567.50 : x
2. Step 2: Convert to fraction form
   140,975/207,567.50 = 207,567.50/x
3. Step 3: Cross multiply
   140,975x = 207,567.50 × 207,567.50
4. Step 4: Simplify right side
   140,975x = 43,084,267,056.25
5. Step 5: Solve for x
   x = 43,084,267,056.25/140,975
6. Step 6: Final answer
   x = 305,616.37