Finding the Third Proportional to 102,054 and 153,180

Step by Step Solution

1. Step 1: Write the proportion equation
   102,054 : 153,180 = 153,180 : x
2. Step 2: Convert to fraction form
   102,054/153,180 = 153,180/x
3. Step 3: Cross multiply
   102,054x = 153,180 × 153,180
4. Step 4: Simplify right side
   102,054x = 23,464,112,400
5. Step 5: Solve for x
   x = 23,464,112,400/102,054
6. Step 6: Final answer
   x = 229,918.60