Finding the Third Proportional to 53,645.63 and 78,824.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,645.63 : 78,824.25 = 78,824.25 : x
2. Step 2: Convert to fraction form
   53,645.63/78,824.25 = 78,824.25/x
3. Step 3: Cross multiply
   53,645.63x = 78,824.25 × 78,824.25
4. Step 4: Simplify right side
   53,645.63x = 6,213,262,388.06
5. Step 5: Solve for x
   x = 6,213,262,388.06/53,645.63
6. Step 6: Final answer
   x = 115,820.49