Finding the Third Proportional to 57,827 and 89,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,827 : 89,366.50 = 89,366.50 : x
2. Step 2: Convert to fraction form
   57,827/89,366.50 = 89,366.50/x
3. Step 3: Cross multiply
   57,827x = 89,366.50 × 89,366.50
4. Step 4: Simplify right side
   57,827x = 7,986,371,322.25
5. Step 5: Solve for x
   x = 7,986,371,322.25/57,827
6. Step 6: Final answer
   x = 138,108.00