Finding the Third Proportional to 78,005 and 184,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,005 : 184,077.50 = 184,077.50 : x
2. Step 2: Convert to fraction form
   78,005/184,077.50 = 184,077.50/x
3. Step 3: Cross multiply
   78,005x = 184,077.50 × 184,077.50
4. Step 4: Simplify right side
   78,005x = 33,884,526,006.25
5. Step 5: Solve for x
   x = 33,884,526,006.25/78,005
6. Step 6: Final answer
   x = 434,389.15