Finding the Third Proportional to 92,096.25 and 137,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,096.25 : 137,575.50 = 137,575.50 : x
2. Step 2: Convert to fraction form
   92,096.25/137,575.50 = 137,575.50/x
3. Step 3: Cross multiply
   92,096.25x = 137,575.50 × 137,575.50
4. Step 4: Simplify right side
   92,096.25x = 18,927,018,200.25
5. Step 5: Solve for x
   x = 18,927,018,200.25/92,096.25
6. Step 6: Final answer
   x = 205,513.45