Finding the Third Proportional to 53,184.38 and 78,725.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,184.38 : 78,725.25 = 78,725.25 : x
2. Step 2: Convert to fraction form
   53,184.38/78,725.25 = 78,725.25/x
3. Step 3: Cross multiply
   53,184.38x = 78,725.25 × 78,725.25
4. Step 4: Simplify right side
   53,184.38x = 6,197,664,987.56
5. Step 5: Solve for x
   x = 6,197,664,987.56/53,184.38
6. Step 6: Final answer
   x = 116,531.69