Finding the Third Proportional to 102,136 and 158,550

Step by Step Solution

1. Step 1: Write the proportion equation
   102,136 : 158,550 = 158,550 : x
2. Step 2: Convert to fraction form
   102,136/158,550 = 158,550/x
3. Step 3: Cross multiply
   102,136x = 158,550 × 158,550
4. Step 4: Simplify right side
   102,136x = 25,138,102,500
5. Step 5: Solve for x
   x = 25,138,102,500/102,136
6. Step 6: Final answer
   x = 246,123.82