Finding the Third Proportional to 83,469 and 176,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,469 : 176,869.50 = 176,869.50 : x
2. Step 2: Convert to fraction form
   83,469/176,869.50 = 176,869.50/x
3. Step 3: Cross multiply
   83,469x = 176,869.50 × 176,869.50
4. Step 4: Simplify right side
   83,469x = 31,282,820,030.25
5. Step 5: Solve for x
   x = 31,282,820,030.25/83,469
6. Step 6: Final answer
   x = 374,783.69