Finding the Third Proportional to 77,094 and 123,255

Step by Step Solution

1. Step 1: Write the proportion equation
   77,094 : 123,255 = 123,255 : x
2. Step 2: Convert to fraction form
   77,094/123,255 = 123,255/x
3. Step 3: Cross multiply
   77,094x = 123,255 × 123,255
4. Step 4: Simplify right side
   77,094x = 15,191,795,025
5. Step 5: Solve for x
   x = 15,191,795,025/77,094
6. Step 6: Final answer
   x = 197,055.48