Finding the Third Proportional to 80,406 and 175,807.13

Step by Step Solution

1. Step 1: Write the proportion equation
   80,406 : 175,807.13 = 175,807.13 : x
2. Step 2: Convert to fraction form
   80,406/175,807.13 = 175,807.13/x
3. Step 3: Cross multiply
   80,406x = 175,807.13 × 175,807.13
4. Step 4: Simplify right side
   80,406x = 30,908,145,200.77
5. Step 5: Solve for x
   x = 30,908,145,200.77/80,406
6. Step 6: Final answer
   x = 384,400.98