Finding the Third Proportional to 83,152.50 and 182,409

Step by Step Solution

1. Step 1: Write the proportion equation
   83,152.50 : 182,409 = 182,409 : x
2. Step 2: Convert to fraction form
   83,152.50/182,409 = 182,409/x
3. Step 3: Cross multiply
   83,152.50x = 182,409 × 182,409
4. Step 4: Simplify right side
   83,152.50x = 33,273,043,281
5. Step 5: Solve for x
   x = 33,273,043,281/83,152.50
6. Step 6: Final answer
   x = 400,144.83