Finding the Third Proportional to 64,553 and 140,788

Step by Step Solution

1. Step 1: Write the proportion equation
   64,553 : 140,788 = 140,788 : x
2. Step 2: Convert to fraction form
   64,553/140,788 = 140,788/x
3. Step 3: Cross multiply
   64,553x = 140,788 × 140,788
4. Step 4: Simplify right side
   64,553x = 19,821,260,944
5. Step 5: Solve for x
   x = 19,821,260,944/64,553
6. Step 6: Final answer
   x = 307,054.06