Finding the Third Proportional to 52,774 and 78,897

Step by Step Solution

1. Step 1: Write the proportion equation
   52,774 : 78,897 = 78,897 : x
2. Step 2: Convert to fraction form
   52,774/78,897 = 78,897/x
3. Step 3: Cross multiply
   52,774x = 78,897 × 78,897
4. Step 4: Simplify right side
   52,774x = 6,224,736,609
5. Step 5: Solve for x
   x = 6,224,736,609/52,774
6. Step 6: Final answer
   x = 117,950.82