Finding the Third Proportional to 57,709 and 90,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,709 : 90,208.50 = 90,208.50 : x
2. Step 2: Convert to fraction form
   57,709/90,208.50 = 90,208.50/x
3. Step 3: Cross multiply
   57,709x = 90,208.50 × 90,208.50
4. Step 4: Simplify right side
   57,709x = 8,137,573,472.25
5. Step 5: Solve for x
   x = 8,137,573,472.25/57,709
6. Step 6: Final answer
   x = 141,010.47