Finding the Third Proportional to 100,196 and 149,978

Step by Step Solution

1. Step 1: Write the proportion equation
   100,196 : 149,978 = 149,978 : x
2. Step 2: Convert to fraction form
   100,196/149,978 = 149,978/x
3. Step 3: Cross multiply
   100,196x = 149,978 × 149,978
4. Step 4: Simplify right side
   100,196x = 22,493,400,484
5. Step 5: Solve for x
   x = 22,493,400,484/100,196
6. Step 6: Final answer
   x = 224,494.00