Finding the Third Proportional to 42,174 and 89,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,174 : 89,707.50 = 89,707.50 : x
2. Step 2: Convert to fraction form
   42,174/89,707.50 = 89,707.50/x
3. Step 3: Cross multiply
   42,174x = 89,707.50 × 89,707.50
4. Step 4: Simplify right side
   42,174x = 8,047,435,556.25
5. Step 5: Solve for x
   x = 8,047,435,556.25/42,174
6. Step 6: Final answer
   x = 190,815.09