Finding the Third Proportional to 78,175 and 184,358.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,175 : 184,358.50 = 184,358.50 : x
2. Step 2: Convert to fraction form
   78,175/184,358.50 = 184,358.50/x
3. Step 3: Cross multiply
   78,175x = 184,358.50 × 184,358.50
4. Step 4: Simplify right side
   78,175x = 33,988,056,522.25
5. Step 5: Solve for x
   x = 33,988,056,522.25/78,175
6. Step 6: Final answer
   x = 434,768.87