Finding the Third Proportional to 59,109.75 and 83,136.38

Step by Step Solution

1. Step 1: Write the proportion equation
   59,109.75 : 83,136.38 = 83,136.38 : x
2. Step 2: Convert to fraction form
   59,109.75/83,136.38 = 83,136.38/x
3. Step 3: Cross multiply
   59,109.75x = 83,136.38 × 83,136.38
4. Step 4: Simplify right side
   59,109.75x = 6,911,656,848.14
5. Step 5: Solve for x
   x = 6,911,656,848.14/59,109.75
6. Step 6: Final answer
   x = 116,929.22