Finding the Third Proportional to 83,511 and 183,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,511 : 183,667.50 = 183,667.50 : x
2. Step 2: Convert to fraction form
   83,511/183,667.50 = 183,667.50/x
3. Step 3: Cross multiply
   83,511x = 183,667.50 × 183,667.50
4. Step 4: Simplify right side
   83,511x = 33,733,750,556.25
5. Step 5: Solve for x
   x = 33,733,750,556.25/83,511
6. Step 6: Final answer
   x = 403,943.80