Finding the Third Proportional to 80,862 and 145,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,862 : 145,927.50 = 145,927.50 : x
2. Step 2: Convert to fraction form
   80,862/145,927.50 = 145,927.50/x
3. Step 3: Cross multiply
   80,862x = 145,927.50 × 145,927.50
4. Step 4: Simplify right side
   80,862x = 21,294,835,256.25
5. Step 5: Solve for x
   x = 21,294,835,256.25/80,862
6. Step 6: Final answer
   x = 263,347.87