Finding the Third Proportional to 42,688 and 93,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,688 : 93,489.50 = 93,489.50 : x
2. Step 2: Convert to fraction form
   42,688/93,489.50 = 93,489.50/x
3. Step 3: Cross multiply
   42,688x = 93,489.50 × 93,489.50
4. Step 4: Simplify right side
   42,688x = 8,740,286,610.25
5. Step 5: Solve for x
   x = 8,740,286,610.25/42,688
6. Step 6: Final answer
   x = 204,748.09