Finding the Third Proportional to 83,501 and 181,987.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,501 : 181,987.50 = 181,987.50 : x
2. Step 2: Convert to fraction form
   83,501/181,987.50 = 181,987.50/x
3. Step 3: Cross multiply
   83,501x = 181,987.50 × 181,987.50
4. Step 4: Simplify right side
   83,501x = 33,119,450,156.25
5. Step 5: Solve for x
   x = 33,119,450,156.25/83,501
6. Step 6: Final answer
   x = 396,635.37