Finding the Third Proportional to 112,896 and 153,774

Step by Step Solution

1. Step 1: Write the proportion equation
   112,896 : 153,774 = 153,774 : x
2. Step 2: Convert to fraction form
   112,896/153,774 = 153,774/x
3. Step 3: Cross multiply
   112,896x = 153,774 × 153,774
4. Step 4: Simplify right side
   112,896x = 23,646,443,076
5. Step 5: Solve for x
   x = 23,646,443,076/112,896
6. Step 6: Final answer
   x = 209,453.33