Finding the Third Proportional to 64,686 and 98,123

Step by Step Solution

1. Step 1: Write the proportion equation
   64,686 : 98,123 = 98,123 : x
2. Step 2: Convert to fraction form
   64,686/98,123 = 98,123/x
3. Step 3: Cross multiply
   64,686x = 98,123 × 98,123
4. Step 4: Simplify right side
   64,686x = 9,628,123,129
5. Step 5: Solve for x
   x = 9,628,123,129/64,686
6. Step 6: Final answer
   x = 148,844.00