Finding the Third Proportional to 65,542.50 and 139,664.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,542.50 : 139,664.25 = 139,664.25 : x
2. Step 2: Convert to fraction form
   65,542.50/139,664.25 = 139,664.25/x
3. Step 3: Cross multiply
   65,542.50x = 139,664.25 × 139,664.25
4. Step 4: Simplify right side
   65,542.50x = 19,506,102,728.06
5. Step 5: Solve for x
   x = 19,506,102,728.06/65,542.50
6. Step 6: Final answer
   x = 297,609.99