Finding the Third Proportional to 52,548.75 and 78,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,548.75 : 78,637.50 = 78,637.50 : x
2. Step 2: Convert to fraction form
   52,548.75/78,637.50 = 78,637.50/x
3. Step 3: Cross multiply
   52,548.75x = 78,637.50 × 78,637.50
4. Step 4: Simplify right side
   52,548.75x = 6,183,856,406.25
5. Step 5: Solve for x
   x = 6,183,856,406.25/52,548.75
6. Step 6: Final answer
   x = 117,678.47