Finding the Third Proportional to 102,978 and 155,358

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 155,358 = 155,358 : x
2. Step 2: Convert to fraction form
   102,978/155,358 = 155,358/x
3. Step 3: Cross multiply
   102,978x = 155,358 × 155,358
4. Step 4: Simplify right side
   102,978x = 24,136,108,164
5. Step 5: Solve for x
   x = 24,136,108,164/102,978
6. Step 6: Final answer
   x = 234,381.21