Finding the Third Proportional to 109,188 and 238,140

Step by Step Solution

1. Step 1: Write the proportion equation
   109,188 : 238,140 = 238,140 : x
2. Step 2: Convert to fraction form
   109,188/238,140 = 238,140/x
3. Step 3: Cross multiply
   109,188x = 238,140 × 238,140
4. Step 4: Simplify right side
   109,188x = 56,710,659,600
5. Step 5: Solve for x
   x = 56,710,659,600/109,188
6. Step 6: Final answer
   x = 519,385.46