Finding the Third Proportional to 83,097 and 181,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,097 : 181,426.50 = 181,426.50 : x
2. Step 2: Convert to fraction form
   83,097/181,426.50 = 181,426.50/x
3. Step 3: Cross multiply
   83,097x = 181,426.50 × 181,426.50
4. Step 4: Simplify right side
   83,097x = 32,915,574,902.25
5. Step 5: Solve for x
   x = 32,915,574,902.25/83,097
6. Step 6: Final answer
   x = 396,110.27