Finding the Third Proportional to 129,152 and 174,441

Step by Step Solution

1. Step 1: Write the proportion equation
   129,152 : 174,441 = 174,441 : x
2. Step 2: Convert to fraction form
   129,152/174,441 = 174,441/x
3. Step 3: Cross multiply
   129,152x = 174,441 × 174,441
4. Step 4: Simplify right side
   129,152x = 30,429,662,481
5. Step 5: Solve for x
   x = 30,429,662,481/129,152
6. Step 6: Final answer
   x = 235,611.24