Finding the Third Proportional to 92,098 and 137,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,098 : 137,577.50 = 137,577.50 : x
2. Step 2: Convert to fraction form
   92,098/137,577.50 = 137,577.50/x
3. Step 3: Cross multiply
   92,098x = 137,577.50 × 137,577.50
4. Step 4: Simplify right side
   92,098x = 18,927,568,506.25
5. Step 5: Solve for x
   x = 18,927,568,506.25/92,098
6. Step 6: Final answer
   x = 205,515.52