Finding the Third Proportional to 65,277.50 and 139,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,277.50 : 139,089.50 = 139,089.50 : x
2. Step 2: Convert to fraction form
   65,277.50/139,089.50 = 139,089.50/x
3. Step 3: Cross multiply
   65,277.50x = 139,089.50 × 139,089.50
4. Step 4: Simplify right side
   65,277.50x = 19,345,889,010.25
5. Step 5: Solve for x
   x = 19,345,889,010.25/65,277.50
6. Step 6: Final answer
   x = 296,363.82