Finding the Third Proportional to 61,122 and 127,792.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,122 : 127,792.50 = 127,792.50 : x
2. Step 2: Convert to fraction form
   61,122/127,792.50 = 127,792.50/x
3. Step 3: Cross multiply
   61,122x = 127,792.50 × 127,792.50
4. Step 4: Simplify right side
   61,122x = 16,330,923,056.25
5. Step 5: Solve for x
   x = 16,330,923,056.25/61,122
6. Step 6: Final answer
   x = 267,185.68