Finding the Third Proportional to 41,464.50 and 97,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,464.50 : 97,471.50 = 97,471.50 : x
2. Step 2: Convert to fraction form
   41,464.50/97,471.50 = 97,471.50/x
3. Step 3: Cross multiply
   41,464.50x = 97,471.50 × 97,471.50
4. Step 4: Simplify right side
   41,464.50x = 9,500,693,312.25
5. Step 5: Solve for x
   x = 9,500,693,312.25/41,464.50
6. Step 6: Final answer
   x = 229,128.37