Finding the Third Proportional to 83,187 and 179,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,187 : 179,941.50 = 179,941.50 : x
2. Step 2: Convert to fraction form
   83,187/179,941.50 = 179,941.50/x
3. Step 3: Cross multiply
   83,187x = 179,941.50 × 179,941.50
4. Step 4: Simplify right side
   83,187x = 32,378,943,422.25
5. Step 5: Solve for x
   x = 32,378,943,422.25/83,187
6. Step 6: Final answer
   x = 389,230.81