Finding the Third Proportional to 57,397 and 76,978.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,397 : 76,978.50 = 76,978.50 : x
2. Step 2: Convert to fraction form
   57,397/76,978.50 = 76,978.50/x
3. Step 3: Cross multiply
   57,397x = 76,978.50 × 76,978.50
4. Step 4: Simplify right side
   57,397x = 5,925,689,462.25
5. Step 5: Solve for x
   x = 5,925,689,462.25/57,397
6. Step 6: Final answer
   x = 103,240.40