Finding the Third Proportional to 77,945 and 111,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,945 : 111,467.50 = 111,467.50 : x
2. Step 2: Convert to fraction form
   77,945/111,467.50 = 111,467.50/x
3. Step 3: Cross multiply
   77,945x = 111,467.50 × 111,467.50
4. Step 4: Simplify right side
   77,945x = 12,425,003,556.25
5. Step 5: Solve for x
   x = 12,425,003,556.25/77,945
6. Step 6: Final answer
   x = 159,407.32