Finding the Third Proportional to 92,270 and 137,924.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,270 : 137,924.50 = 137,924.50 : x
2. Step 2: Convert to fraction form
   92,270/137,924.50 = 137,924.50/x
3. Step 3: Cross multiply
   92,270x = 137,924.50 × 137,924.50
4. Step 4: Simplify right side
   92,270x = 19,023,167,700.25
5. Step 5: Solve for x
   x = 19,023,167,700.25/92,270
6. Step 6: Final answer
   x = 206,168.50