Finding the Third Proportional to 83,793 and 176,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,793 : 176,203.50 = 176,203.50 : x
2. Step 2: Convert to fraction form
   83,793/176,203.50 = 176,203.50/x
3. Step 3: Cross multiply
   83,793x = 176,203.50 × 176,203.50
4. Step 4: Simplify right side
   83,793x = 31,047,673,412.25
5. Step 5: Solve for x
   x = 31,047,673,412.25/83,793
6. Step 6: Final answer
   x = 370,528.25