Finding the Third Proportional to 82,137 and 118,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,137 : 118,693.50 = 118,693.50 : x
2. Step 2: Convert to fraction form
   82,137/118,693.50 = 118,693.50/x
3. Step 3: Cross multiply
   82,137x = 118,693.50 × 118,693.50
4. Step 4: Simplify right side
   82,137x = 14,088,146,942.25
5. Step 5: Solve for x
   x = 14,088,146,942.25/82,137
6. Step 6: Final answer
   x = 171,520.11