Finding the Third Proportional to 52,006 and 78,468

Step by Step Solution

1. Step 1: Write the proportion equation
   52,006 : 78,468 = 78,468 : x
2. Step 2: Convert to fraction form
   52,006/78,468 = 78,468/x
3. Step 3: Cross multiply
   52,006x = 78,468 × 78,468
4. Step 4: Simplify right side
   52,006x = 6,157,227,024
5. Step 5: Solve for x
   x = 6,157,227,024/52,006
6. Step 6: Final answer
   x = 118,394.55