Finding the Third Proportional to 92,256 and 137,672.06

Step by Step Solution

1. Step 1: Write the proportion equation
   92,256 : 137,672.06 = 137,672.06 : x
2. Step 2: Convert to fraction form
   92,256/137,672.06 = 137,672.06/x
3. Step 3: Cross multiply
   92,256x = 137,672.06 × 137,672.06
4. Step 4: Simplify right side
   92,256x = 18,953,596,793.00
5. Step 5: Solve for x
   x = 18,953,596,793.00/92,256
6. Step 6: Final answer
   x = 205,445.68