Finding the Third Proportional to 84,519 and 118,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,519 : 118,156.50 = 118,156.50 : x
2. Step 2: Convert to fraction form
   84,519/118,156.50 = 118,156.50/x
3. Step 3: Cross multiply
   84,519x = 118,156.50 × 118,156.50
4. Step 4: Simplify right side
   84,519x = 13,960,958,492.25
5. Step 5: Solve for x
   x = 13,960,958,492.25/84,519
6. Step 6: Final answer
   x = 165,181.30