Finding the Third Proportional to 111,938 and 155,146

Step by Step Solution

1. Step 1: Write the proportion equation
   111,938 : 155,146 = 155,146 : x
2. Step 2: Convert to fraction form
   111,938/155,146 = 155,146/x
3. Step 3: Cross multiply
   111,938x = 155,146 × 155,146
4. Step 4: Simplify right side
   111,938x = 24,070,281,316
5. Step 5: Solve for x
   x = 24,070,281,316/111,938
6. Step 6: Final answer
   x = 215,032.26