Finding the Third Proportional to 182,250 and 397,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,250 : 397,210.50 = 397,210.50 : x
2. Step 2: Convert to fraction form
   182,250/397,210.50 = 397,210.50/x
3. Step 3: Cross multiply
   182,250x = 397,210.50 × 397,210.50
4. Step 4: Simplify right side
   182,250x = 157,776,181,310.25
5. Step 5: Solve for x
   x = 157,776,181,310.25/182,250
6. Step 6: Final answer
   x = 865,712.93