Finding the Third Proportional to 42,211 and 98,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,211 : 98,615.50 = 98,615.50 : x
2. Step 2: Convert to fraction form
   42,211/98,615.50 = 98,615.50/x
3. Step 3: Cross multiply
   42,211x = 98,615.50 × 98,615.50
4. Step 4: Simplify right side
   42,211x = 9,725,016,840.25
5. Step 5: Solve for x
   x = 9,725,016,840.25/42,211
6. Step 6: Final answer
   x = 230,390.58