Finding the Third Proportional to 106,290 and 153,144

Step by Step Solution

1. Step 1: Write the proportion equation
   106,290 : 153,144 = 153,144 : x
2. Step 2: Convert to fraction form
   106,290/153,144 = 153,144/x
3. Step 3: Cross multiply
   106,290x = 153,144 × 153,144
4. Step 4: Simplify right side
   106,290x = 23,453,084,736
5. Step 5: Solve for x
   x = 23,453,084,736/106,290
6. Step 6: Final answer
   x = 220,651.85