Finding the Third Proportional to 52,523.25 and 78,599.25

Step by Step Solution

1. Step 1: Write the proportion equation
   52,523.25 : 78,599.25 = 78,599.25 : x
2. Step 2: Convert to fraction form
   52,523.25/78,599.25 = 78,599.25/x
3. Step 3: Cross multiply
   52,523.25x = 78,599.25 × 78,599.25
4. Step 4: Simplify right side
   52,523.25x = 6,177,842,100.56
5. Step 5: Solve for x
   x = 6,177,842,100.56/52,523.25
6. Step 6: Final answer
   x = 117,621.09