Finding the Third Proportional to 86,924 and 181,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,924 : 181,907.50 = 181,907.50 : x
2. Step 2: Convert to fraction form
   86,924/181,907.50 = 181,907.50/x
3. Step 3: Cross multiply
   86,924x = 181,907.50 × 181,907.50
4. Step 4: Simplify right side
   86,924x = 33,090,338,556.25
5. Step 5: Solve for x
   x = 33,090,338,556.25/86,924
6. Step 6: Final answer
   x = 380,681.27