Finding the Third Proportional to 54,196 and 83,454

Step by Step Solution

1. Step 1: Write the proportion equation
   54,196 : 83,454 = 83,454 : x
2. Step 2: Convert to fraction form
   54,196/83,454 = 83,454/x
3. Step 3: Cross multiply
   54,196x = 83,454 × 83,454
4. Step 4: Simplify right side
   54,196x = 6,964,570,116
5. Step 5: Solve for x
   x = 6,964,570,116/54,196
6. Step 6: Final answer
   x = 128,507.09