Finding the Third Proportional to 67,092.25 and 137,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,092.25 : 137,097.50 = 137,097.50 : x
2. Step 2: Convert to fraction form
   67,092.25/137,097.50 = 137,097.50/x
3. Step 3: Cross multiply
   67,092.25x = 137,097.50 × 137,097.50
4. Step 4: Simplify right side
   67,092.25x = 18,795,724,506.25
5. Step 5: Solve for x
   x = 18,795,724,506.25/67,092.25
6. Step 6: Final answer
   x = 280,147.48