Finding the Third Proportional to 56,496 and 121,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,496 : 121,747.50 = 121,747.50 : x
2. Step 2: Convert to fraction form
   56,496/121,747.50 = 121,747.50/x
3. Step 3: Cross multiply
   56,496x = 121,747.50 × 121,747.50
4. Step 4: Simplify right side
   56,496x = 14,822,453,756.25
5. Step 5: Solve for x
   x = 14,822,453,756.25/56,496
6. Step 6: Final answer
   x = 262,362.89