Finding the Third Proportional to 25,803 and 56,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,803 : 56,523.50 = 56,523.50 : x
2. Step 2: Convert to fraction form
   25,803/56,523.50 = 56,523.50/x
3. Step 3: Cross multiply
   25,803x = 56,523.50 × 56,523.50
4. Step 4: Simplify right side
   25,803x = 3,194,906,052.25
5. Step 5: Solve for x
   x = 3,194,906,052.25/25,803
6. Step 6: Final answer
   x = 123,819.17