Finding the Third Proportional to 52,663 and 109,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,663 : 109,701.50 = 109,701.50 : x
2. Step 2: Convert to fraction form
   52,663/109,701.50 = 109,701.50/x
3. Step 3: Cross multiply
   52,663x = 109,701.50 × 109,701.50
4. Step 4: Simplify right side
   52,663x = 12,034,419,102.25
5. Step 5: Solve for x
   x = 12,034,419,102.25/52,663
6. Step 6: Final answer
   x = 228,517.54