Finding the Third Proportional to 75,530.50 and 176,406

Step by Step Solution

1. Step 1: Write the proportion equation
   75,530.50 : 176,406 = 176,406 : x
2. Step 2: Convert to fraction form
   75,530.50/176,406 = 176,406/x
3. Step 3: Cross multiply
   75,530.50x = 176,406 × 176,406
4. Step 4: Simplify right side
   75,530.50x = 31,119,076,836
5. Step 5: Solve for x
   x = 31,119,076,836/75,530.50
6. Step 6: Final answer
   x = 412,006.76