Finding the Third Proportional to 83,706.75 and 117,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,706.75 : 117,085.50 = 117,085.50 : x
2. Step 2: Convert to fraction form
   83,706.75/117,085.50 = 117,085.50/x
3. Step 3: Cross multiply
   83,706.75x = 117,085.50 × 117,085.50
4. Step 4: Simplify right side
   83,706.75x = 13,709,014,310.25
5. Step 5: Solve for x
   x = 13,709,014,310.25/83,706.75
6. Step 6: Final answer
   x = 163,774.30