Finding the Third Proportional to 52,014 and 78,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,014 : 78,388.50 = 78,388.50 : x
2. Step 2: Convert to fraction form
   52,014/78,388.50 = 78,388.50/x
3. Step 3: Cross multiply
   52,014x = 78,388.50 × 78,388.50
4. Step 4: Simplify right side
   52,014x = 6,144,756,932.25
5. Step 5: Solve for x
   x = 6,144,756,932.25/52,014
6. Step 6: Final answer
   x = 118,136.60