Finding the Third Proportional to 58,413 and 127,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,413 : 127,882.50 = 127,882.50 : x
2. Step 2: Convert to fraction form
   58,413/127,882.50 = 127,882.50/x
3. Step 3: Cross multiply
   58,413x = 127,882.50 × 127,882.50
4. Step 4: Simplify right side
   58,413x = 16,353,933,806.25
5. Step 5: Solve for x
   x = 16,353,933,806.25/58,413
6. Step 6: Final answer
   x = 279,970.79