Finding the Third Proportional to 64,364 and 96,978

Step by Step Solution

1. Step 1: Write the proportion equation
   64,364 : 96,978 = 96,978 : x
2. Step 2: Convert to fraction form
   64,364/96,978 = 96,978/x
3. Step 3: Cross multiply
   64,364x = 96,978 × 96,978
4. Step 4: Simplify right side
   64,364x = 9,404,732,484
5. Step 5: Solve for x
   x = 9,404,732,484/64,364
6. Step 6: Final answer
   x = 146,117.90