Finding the Third Proportional to 52,816.50 and 109,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,816.50 : 109,984.50 = 109,984.50 : x
2. Step 2: Convert to fraction form
   52,816.50/109,984.50 = 109,984.50/x
3. Step 3: Cross multiply
   52,816.50x = 109,984.50 × 109,984.50
4. Step 4: Simplify right side
   52,816.50x = 12,096,590,240.25
5. Step 5: Solve for x
   x = 12,096,590,240.25/52,816.50
6. Step 6: Final answer
   x = 229,030.52