Finding the Third Proportional to 111,429 and 238,409

Step by Step Solution

1. Step 1: Write the proportion equation
   111,429 : 238,409 = 238,409 : x
2. Step 2: Convert to fraction form
   111,429/238,409 = 238,409/x
3. Step 3: Cross multiply
   111,429x = 238,409 × 238,409
4. Step 4: Simplify right side
   111,429x = 56,838,851,281
5. Step 5: Solve for x
   x = 56,838,851,281/111,429
6. Step 6: Final answer
   x = 510,090.29