Finding the Third Proportional to 102,639 and 157,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,639 : 157,558.50 = 157,558.50 : x
2. Step 2: Convert to fraction form
   102,639/157,558.50 = 157,558.50/x
3. Step 3: Cross multiply
   102,639x = 157,558.50 × 157,558.50
4. Step 4: Simplify right side
   102,639x = 24,824,680,922.25
5. Step 5: Solve for x
   x = 24,824,680,922.25/102,639
6. Step 6: Final answer
   x = 241,864.02