Finding the Third Proportional to 92,202 and 140,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,202 : 140,764.50 = 140,764.50 : x
2. Step 2: Convert to fraction form
   92,202/140,764.50 = 140,764.50/x
3. Step 3: Cross multiply
   92,202x = 140,764.50 × 140,764.50
4. Step 4: Simplify right side
   92,202x = 19,814,644,460.25
5. Step 5: Solve for x
   x = 19,814,644,460.25/92,202
6. Step 6: Final answer
   x = 214,904.71