Finding the Third Proportional to 67,782 and 101,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,782 : 101,467.50 = 101,467.50 : x
2. Step 2: Convert to fraction form
   67,782/101,467.50 = 101,467.50/x
3. Step 3: Cross multiply
   67,782x = 101,467.50 × 101,467.50
4. Step 4: Simplify right side
   67,782x = 10,295,653,556.25
5. Step 5: Solve for x
   x = 10,295,653,556.25/67,782
6. Step 6: Final answer
   x = 151,893.62