Finding the Third Proportional to 78,003 and 184,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,003 : 184,072.50 = 184,072.50 : x
2. Step 2: Convert to fraction form
   78,003/184,072.50 = 184,072.50/x
3. Step 3: Cross multiply
   78,003x = 184,072.50 × 184,072.50
4. Step 4: Simplify right side
   78,003x = 33,882,685,256.25
5. Step 5: Solve for x
   x = 33,882,685,256.25/78,003
6. Step 6: Final answer
   x = 434,376.69