Finding the Third Proportional to 52,441 and 78,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,441 : 78,646.50 = 78,646.50 : x
2. Step 2: Convert to fraction form
   52,441/78,646.50 = 78,646.50/x
3. Step 3: Cross multiply
   52,441x = 78,646.50 × 78,646.50
4. Step 4: Simplify right side
   52,441x = 6,185,271,962.25
5. Step 5: Solve for x
   x = 6,185,271,962.25/52,441
6. Step 6: Final answer
   x = 117,947.25