Finding the Third Proportional to 83,713 and 117,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,713 : 117,355.50 = 117,355.50 : x
2. Step 2: Convert to fraction form
   83,713/117,355.50 = 117,355.50/x
3. Step 3: Cross multiply
   83,713x = 117,355.50 × 117,355.50
4. Step 4: Simplify right side
   83,713x = 13,772,313,380.25
5. Step 5: Solve for x
   x = 13,772,313,380.25/83,713
6. Step 6: Final answer
   x = 164,518.22