Finding the Third Proportional to 83,074.50 and 182,763

Step by Step Solution

1. Step 1: Write the proportion equation
   83,074.50 : 182,763 = 182,763 : x
2. Step 2: Convert to fraction form
   83,074.50/182,763 = 182,763/x
3. Step 3: Cross multiply
   83,074.50x = 182,763 × 182,763
4. Step 4: Simplify right side
   83,074.50x = 33,402,314,169
5. Step 5: Solve for x
   x = 33,402,314,169/83,074.50
6. Step 6: Final answer
   x = 402,076.62