Finding the Third Proportional to 83,680 and 117,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,680 : 117,042.50 = 117,042.50 : x
2. Step 2: Convert to fraction form
   83,680/117,042.50 = 117,042.50/x
3. Step 3: Cross multiply
   83,680x = 117,042.50 × 117,042.50
4. Step 4: Simplify right side
   83,680x = 13,698,946,806.25
5. Step 5: Solve for x
   x = 13,698,946,806.25/83,680
6. Step 6: Final answer
   x = 163,706.34