Finding the Third Proportional to 56,916 and 82,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,916 : 82,227.50 = 82,227.50 : x
2. Step 2: Convert to fraction form
   56,916/82,227.50 = 82,227.50/x
3. Step 3: Cross multiply
   56,916x = 82,227.50 × 82,227.50
4. Step 4: Simplify right side
   56,916x = 6,761,361,756.25
5. Step 5: Solve for x
   x = 6,761,361,756.25/56,916
6. Step 6: Final answer
   x = 118,795.45