Finding the Third Proportional to 109,650 and 238,086

Step by Step Solution

1. Step 1: Write the proportion equation
   109,650 : 238,086 = 238,086 : x
2. Step 2: Convert to fraction form
   109,650/238,086 = 238,086/x
3. Step 3: Cross multiply
   109,650x = 238,086 × 238,086
4. Step 4: Simplify right side
   109,650x = 56,684,943,396
5. Step 5: Solve for x
   x = 56,684,943,396/109,650
6. Step 6: Final answer
   x = 516,962.55