Finding the Third Proportional to 103,222.50 and 145,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,222.50 : 145,354.50 = 145,354.50 : x
2. Step 2: Convert to fraction form
   103,222.50/145,354.50 = 145,354.50/x
3. Step 3: Cross multiply
   103,222.50x = 145,354.50 × 145,354.50
4. Step 4: Simplify right side
   103,222.50x = 21,127,930,670.25
5. Step 5: Solve for x
   x = 21,127,930,670.25/103,222.50
6. Step 6: Final answer
   x = 204,683.38