Finding the Third Proportional to 55,788 and 122,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,788 : 122,632.50 = 122,632.50 : x
2. Step 2: Convert to fraction form
   55,788/122,632.50 = 122,632.50/x
3. Step 3: Cross multiply
   55,788x = 122,632.50 × 122,632.50
4. Step 4: Simplify right side
   55,788x = 15,038,730,056.25
5. Step 5: Solve for x
   x = 15,038,730,056.25/55,788
6. Step 6: Final answer
   x = 269,569.26