Finding the Third Proportional to 130,945 and 200,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,945 : 200,222.50 = 200,222.50 : x
2. Step 2: Convert to fraction form
   130,945/200,222.50 = 200,222.50/x
3. Step 3: Cross multiply
   130,945x = 200,222.50 × 200,222.50
4. Step 4: Simplify right side
   130,945x = 40,089,049,506.25
5. Step 5: Solve for x
   x = 40,089,049,506.25/130,945
6. Step 6: Final answer
   x = 306,151.82