Finding the Third Proportional to 83,358 and 182,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,358 : 182,524.50 = 182,524.50 : x
2. Step 2: Convert to fraction form
   83,358/182,524.50 = 182,524.50/x
3. Step 3: Cross multiply
   83,358x = 182,524.50 × 182,524.50
4. Step 4: Simplify right side
   83,358x = 33,315,193,100.25
5. Step 5: Solve for x
   x = 33,315,193,100.25/83,358
6. Step 6: Final answer
   x = 399,664.02