Finding the Third Proportional to 52,199 and 113,807

Step by Step Solution

1. Step 1: Write the proportion equation
   52,199 : 113,807 = 113,807 : x
2. Step 2: Convert to fraction form
   52,199/113,807 = 113,807/x
3. Step 3: Cross multiply
   52,199x = 113,807 × 113,807
4. Step 4: Simplify right side
   52,199x = 12,952,033,249
5. Step 5: Solve for x
   x = 12,952,033,249/52,199
6. Step 6: Final answer
   x = 248,128.00