Finding the Third Proportional to 123,188 and 266,066

Step by Step Solution

1. Step 1: Write the proportion equation
   123,188 : 266,066 = 266,066 : x
2. Step 2: Convert to fraction form
   123,188/266,066 = 266,066/x
3. Step 3: Cross multiply
   123,188x = 266,066 × 266,066
4. Step 4: Simplify right side
   123,188x = 70,791,116,356
5. Step 5: Solve for x
   x = 70,791,116,356/123,188
6. Step 6: Final answer
   x = 574,659.19