Finding the Third Proportional to 56,097 and 122,753.25

Step by Step Solution

1. Step 1: Write the proportion equation
   56,097 : 122,753.25 = 122,753.25 : x
2. Step 2: Convert to fraction form
   56,097/122,753.25 = 122,753.25/x
3. Step 3: Cross multiply
   56,097x = 122,753.25 × 122,753.25
4. Step 4: Simplify right side
   56,097x = 15,068,360,385.56
5. Step 5: Solve for x
   x = 15,068,360,385.56/56,097
6. Step 6: Final answer
   x = 268,612.59