Finding the Third Proportional to 83,784 and 117,200

Step by Step Solution

1. Step 1: Write the proportion equation
   83,784 : 117,200 = 117,200 : x
2. Step 2: Convert to fraction form
   83,784/117,200 = 117,200/x
3. Step 3: Cross multiply
   83,784x = 117,200 × 117,200
4. Step 4: Simplify right side
   83,784x = 13,735,840,000
5. Step 5: Solve for x
   x = 13,735,840,000/83,784
6. Step 6: Final answer
   x = 163,943.47