Finding the Third Proportional to 83,017 and 183,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,017 : 183,477.50 = 183,477.50 : x
2. Step 2: Convert to fraction form
   83,017/183,477.50 = 183,477.50/x
3. Step 3: Cross multiply
   83,017x = 183,477.50 × 183,477.50
4. Step 4: Simplify right side
   83,017x = 33,663,993,006.25
5. Step 5: Solve for x
   x = 33,663,993,006.25/83,017
6. Step 6: Final answer
   x = 405,507.22