Finding the Third Proportional to 64,777.50 and 138,546

Step by Step Solution

1. Step 1: Write the proportion equation
   64,777.50 : 138,546 = 138,546 : x
2. Step 2: Convert to fraction form
   64,777.50/138,546 = 138,546/x
3. Step 3: Cross multiply
   64,777.50x = 138,546 × 138,546
4. Step 4: Simplify right side
   64,777.50x = 19,194,994,116
5. Step 5: Solve for x
   x = 19,194,994,116/64,777.50
6. Step 6: Final answer
   x = 296,321.93