Finding the Third Proportional to 83,024 and 183,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,024 : 183,492.50 = 183,492.50 : x
2. Step 2: Convert to fraction form
   83,024/183,492.50 = 183,492.50/x
3. Step 3: Cross multiply
   83,024x = 183,492.50 × 183,492.50
4. Step 4: Simplify right side
   83,024x = 33,669,497,556.25
5. Step 5: Solve for x
   x = 33,669,497,556.25/83,024
6. Step 6: Final answer
   x = 405,539.33