Finding the Third Proportional to 106,072.50 and 155,538

Step by Step Solution

1. Step 1: Write the proportion equation
   106,072.50 : 155,538 = 155,538 : x
2. Step 2: Convert to fraction form
   106,072.50/155,538 = 155,538/x
3. Step 3: Cross multiply
   106,072.50x = 155,538 × 155,538
4. Step 4: Simplify right side
   106,072.50x = 24,192,069,444
5. Step 5: Solve for x
   x = 24,192,069,444/106,072.50
6. Step 6: Final answer
   x = 228,071.08