Finding the Third Proportional to 100,978 and 156,798

Step by Step Solution

1. Step 1: Write the proportion equation
   100,978 : 156,798 = 156,798 : x
2. Step 2: Convert to fraction form
   100,978/156,798 = 156,798/x
3. Step 3: Cross multiply
   100,978x = 156,798 × 156,798
4. Step 4: Simplify right side
   100,978x = 24,585,612,804
5. Step 5: Solve for x
   x = 24,585,612,804/100,978
6. Step 6: Final answer
   x = 243,474.94