Finding the Third Proportional to 53,598 and 78,791.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,598 : 78,791.25 = 78,791.25 : x
2. Step 2: Convert to fraction form
   53,598/78,791.25 = 78,791.25/x
3. Step 3: Cross multiply
   53,598x = 78,791.25 × 78,791.25
4. Step 4: Simplify right side
   53,598x = 6,208,061,076.56
5. Step 5: Solve for x
   x = 6,208,061,076.56/53,598
6. Step 6: Final answer
   x = 115,826.36