Finding the Third Proportional to 102,308.50 and 157,837

Step by Step Solution

1. Step 1: Write the proportion equation
   102,308.50 : 157,837 = 157,837 : x
2. Step 2: Convert to fraction form
   102,308.50/157,837 = 157,837/x
3. Step 3: Cross multiply
   102,308.50x = 157,837 × 157,837
4. Step 4: Simplify right side
   102,308.50x = 24,912,518,569
5. Step 5: Solve for x
   x = 24,912,518,569/102,308.50
6. Step 6: Final answer
   x = 243,503.90