Finding the Third Proportional to 55,710 and 83,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,710 : 83,578.50 = 83,578.50 : x
2. Step 2: Convert to fraction form
   55,710/83,578.50 = 83,578.50/x
3. Step 3: Cross multiply
   55,710x = 83,578.50 × 83,578.50
4. Step 4: Simplify right side
   55,710x = 6,985,365,662.25
5. Step 5: Solve for x
   x = 6,985,365,662.25/55,710
6. Step 6: Final answer
   x = 125,388.00