Finding the Third Proportional to 65,972.25 and 138,424.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,972.25 : 138,424.50 = 138,424.50 : x
2. Step 2: Convert to fraction form
   65,972.25/138,424.50 = 138,424.50/x
3. Step 3: Cross multiply
   65,972.25x = 138,424.50 × 138,424.50
4. Step 4: Simplify right side
   65,972.25x = 19,161,342,200.25
5. Step 5: Solve for x
   x = 19,161,342,200.25/65,972.25
6. Step 6: Final answer
   x = 290,445.49