Finding the Third Proportional to 92,256.50 and 137,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,256.50 : 137,672.50 = 137,672.50 : x
2. Step 2: Convert to fraction form
   92,256.50/137,672.50 = 137,672.50/x
3. Step 3: Cross multiply
   92,256.50x = 137,672.50 × 137,672.50
4. Step 4: Simplify right side
   92,256.50x = 18,953,717,256.25
5. Step 5: Solve for x
   x = 18,953,717,256.25/92,256.50
6. Step 6: Final answer
   x = 205,445.87