Finding the Third Proportional to 102,100.50 and 157,734

Step by Step Solution

1. Step 1: Write the proportion equation
   102,100.50 : 157,734 = 157,734 : x
2. Step 2: Convert to fraction form
   102,100.50/157,734 = 157,734/x
3. Step 3: Cross multiply
   102,100.50x = 157,734 × 157,734
4. Step 4: Simplify right side
   102,100.50x = 24,880,014,756
5. Step 5: Solve for x
   x = 24,880,014,756/102,100.50
6. Step 6: Final answer
   x = 243,681.62