Finding the Third Proportional to 78,154.50 and 184,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,154.50 : 184,372.50 = 184,372.50 : x
2. Step 2: Convert to fraction form
   78,154.50/184,372.50 = 184,372.50/x
3. Step 3: Cross multiply
   78,154.50x = 184,372.50 × 184,372.50
4. Step 4: Simplify right side
   78,154.50x = 33,993,218,756.25
5. Step 5: Solve for x
   x = 33,993,218,756.25/78,154.50
6. Step 6: Final answer
   x = 434,948.96