Finding the Third Proportional to 96,978.38 and 145,584

Step by Step Solution

1. Step 1: Write the proportion equation
   96,978.38 : 145,584 = 145,584 : x
2. Step 2: Convert to fraction form
   96,978.38/145,584 = 145,584/x
3. Step 3: Cross multiply
   96,978.38x = 145,584 × 145,584
4. Step 4: Simplify right side
   96,978.38x = 21,194,701,056
5. Step 5: Solve for x
   x = 21,194,701,056/96,978.38
6. Step 6: Final answer
   x = 218,550.80