Finding the Third Proportional to 101,978 and 155,126

Step by Step Solution

1. Step 1: Write the proportion equation
   101,978 : 155,126 = 155,126 : x
2. Step 2: Convert to fraction form
   101,978/155,126 = 155,126/x
3. Step 3: Cross multiply
   101,978x = 155,126 × 155,126
4. Step 4: Simplify right side
   101,978x = 24,064,075,876
5. Step 5: Solve for x
   x = 24,064,075,876/101,978
6. Step 6: Final answer
   x = 235,973.21