Finding the Third Proportional to 52,538 and 78,862

Step by Step Solution

1. Step 1: Write the proportion equation
   52,538 : 78,862 = 78,862 : x
2. Step 2: Convert to fraction form
   52,538/78,862 = 78,862/x
3. Step 3: Cross multiply
   52,538x = 78,862 × 78,862
4. Step 4: Simplify right side
   52,538x = 6,219,215,044
5. Step 5: Solve for x
   x = 6,219,215,044/52,538
6. Step 6: Final answer
   x = 118,375.56