Finding the Third Proportional to 71,160 and 109,152

Step by Step Solution

1. Step 1: Write the proportion equation
   71,160 : 109,152 = 109,152 : x
2. Step 2: Convert to fraction form
   71,160/109,152 = 109,152/x
3. Step 3: Cross multiply
   71,160x = 109,152 × 109,152
4. Step 4: Simplify right side
   71,160x = 11,914,159,104
5. Step 5: Solve for x
   x = 11,914,159,104/71,160
6. Step 6: Final answer
   x = 167,427.76