Finding the Third Proportional to 83,116.50 and 182,838

Step by Step Solution

1. Step 1: Write the proportion equation
   83,116.50 : 182,838 = 182,838 : x
2. Step 2: Convert to fraction form
   83,116.50/182,838 = 182,838/x
3. Step 3: Cross multiply
   83,116.50x = 182,838 × 182,838
4. Step 4: Simplify right side
   83,116.50x = 33,429,734,244
5. Step 5: Solve for x
   x = 33,429,734,244/83,116.50
6. Step 6: Final answer
   x = 402,203.34