Finding the Third Proportional to 75,120 and 109,152

Step by Step Solution

1. Step 1: Write the proportion equation
   75,120 : 109,152 = 109,152 : x
2. Step 2: Convert to fraction form
   75,120/109,152 = 109,152/x
3. Step 3: Cross multiply
   75,120x = 109,152 × 109,152
4. Step 4: Simplify right side
   75,120x = 11,914,159,104
5. Step 5: Solve for x
   x = 11,914,159,104/75,120
6. Step 6: Final answer
   x = 158,601.69