Finding the Third Proportional to 53,539 and 78,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,539 : 78,388.50 = 78,388.50 : x
2. Step 2: Convert to fraction form
   53,539/78,388.50 = 78,388.50/x
3. Step 3: Cross multiply
   53,539x = 78,388.50 × 78,388.50
4. Step 4: Simplify right side
   53,539x = 6,144,756,932.25
5. Step 5: Solve for x
   x = 6,144,756,932.25/53,539
6. Step 6: Final answer
   x = 114,771.60