Finding the Third Proportional to 62,580 and 96,978

Step by Step Solution

1. Step 1: Write the proportion equation
   62,580 : 96,978 = 96,978 : x
2. Step 2: Convert to fraction form
   62,580/96,978 = 96,978/x
3. Step 3: Cross multiply
   62,580x = 96,978 × 96,978
4. Step 4: Simplify right side
   62,580x = 9,404,732,484
5. Step 5: Solve for x
   x = 9,404,732,484/62,580
6. Step 6: Final answer
   x = 150,283.36