Finding the Third Proportional to 52,830 and 117,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,830 : 117,472.50 = 117,472.50 : x
2. Step 2: Convert to fraction form
   52,830/117,472.50 = 117,472.50/x
3. Step 3: Cross multiply
   52,830x = 117,472.50 × 117,472.50
4. Step 4: Simplify right side
   52,830x = 13,799,788,256.25
5. Step 5: Solve for x
   x = 13,799,788,256.25/52,830
6. Step 6: Final answer
   x = 261,211.21