Finding the Third Proportional to 78,399.50 and 185,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,399.50 : 185,038.50 = 185,038.50 : x
2. Step 2: Convert to fraction form
   78,399.50/185,038.50 = 185,038.50/x
3. Step 3: Cross multiply
   78,399.50x = 185,038.50 × 185,038.50
4. Step 4: Simplify right side
   78,399.50x = 34,239,246,482.25
5. Step 5: Solve for x
   x = 34,239,246,482.25/78,399.50
6. Step 6: Final answer
   x = 436,727.87