Finding the Third Proportional to 83,009 and 183,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,009 : 183,462.50 = 183,462.50 : x
2. Step 2: Convert to fraction form
   83,009/183,462.50 = 183,462.50/x
3. Step 3: Cross multiply
   83,009x = 183,462.50 × 183,462.50
4. Step 4: Simplify right side
   83,009x = 33,658,488,906.25
5. Step 5: Solve for x
   x = 33,658,488,906.25/83,009
6. Step 6: Final answer
   x = 405,480.00