Finding the Third Proportional to 64,181 and 139,053

Step by Step Solution

1. Step 1: Write the proportion equation
   64,181 : 139,053 = 139,053 : x
2. Step 2: Convert to fraction form
   64,181/139,053 = 139,053/x
3. Step 3: Cross multiply
   64,181x = 139,053 × 139,053
4. Step 4: Simplify right side
   64,181x = 19,335,736,809
5. Step 5: Solve for x
   x = 19,335,736,809/64,181
6. Step 6: Final answer
   x = 301,268.86