Finding the Third Proportional to 83,862.50 and 182,488

Step by Step Solution

1. Step 1: Write the proportion equation
   83,862.50 : 182,488 = 182,488 : x
2. Step 2: Convert to fraction form
   83,862.50/182,488 = 182,488/x
3. Step 3: Cross multiply
   83,862.50x = 182,488 × 182,488
4. Step 4: Simplify right side
   83,862.50x = 33,301,870,144
5. Step 5: Solve for x
   x = 33,301,870,144/83,862.50
6. Step 6: Final answer
   x = 397,100.85