Finding the Third Proportional to 51,839.50 and 109,213

Step by Step Solution

1. Step 1: Write the proportion equation
   51,839.50 : 109,213 = 109,213 : x
2. Step 2: Convert to fraction form
   51,839.50/109,213 = 109,213/x
3. Step 3: Cross multiply
   51,839.50x = 109,213 × 109,213
4. Step 4: Simplify right side
   51,839.50x = 11,927,479,369
5. Step 5: Solve for x
   x = 11,927,479,369/51,839.50
6. Step 6: Final answer
   x = 230,084.77