Finding the Third Proportional to 37,468.50 and 78,400.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,468.50 : 78,400.75 = 78,400.75 : x
2. Step 2: Convert to fraction form
   37,468.50/78,400.75 = 78,400.75/x
3. Step 3: Cross multiply
   37,468.50x = 78,400.75 × 78,400.75
4. Step 4: Simplify right side
   37,468.50x = 6,146,677,600.56
5. Step 5: Solve for x
   x = 6,146,677,600.56/37,468.50
6. Step 6: Final answer
   x = 164,049.20