Finding the Third Proportional to 45,906 and 97,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,906 : 97,324.50 = 97,324.50 : x
2. Step 2: Convert to fraction form
   45,906/97,324.50 = 97,324.50/x
3. Step 3: Cross multiply
   45,906x = 97,324.50 × 97,324.50
4. Step 4: Simplify right side
   45,906x = 9,472,058,300.25
5. Step 5: Solve for x
   x = 9,472,058,300.25/45,906
6. Step 6: Final answer
   x = 206,335.95