Finding the Third Proportional to 42,072 and 98,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 98,314.50 = 98,314.50 : x
2. Step 2: Convert to fraction form
   42,072/98,314.50 = 98,314.50/x
3. Step 3: Cross multiply
   42,072x = 98,314.50 × 98,314.50
4. Step 4: Simplify right side
   42,072x = 9,665,740,910.25
5. Step 5: Solve for x
   x = 9,665,740,910.25/42,072
6. Step 6: Final answer
   x = 229,742.84