Finding the Third Proportional to 55,463 and 78,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,463 : 78,477.50 = 78,477.50 : x
2. Step 2: Convert to fraction form
   55,463/78,477.50 = 78,477.50/x
3. Step 3: Cross multiply
   55,463x = 78,477.50 × 78,477.50
4. Step 4: Simplify right side
   55,463x = 6,158,718,006.25
5. Step 5: Solve for x
   x = 6,158,718,006.25/55,463
6. Step 6: Final answer
   x = 111,041.92