Finding the Third Proportional to 84,880 and 184,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,880 : 184,362.50 = 184,362.50 : x
2. Step 2: Convert to fraction form
   84,880/184,362.50 = 184,362.50/x
3. Step 3: Cross multiply
   84,880x = 184,362.50 × 184,362.50
4. Step 4: Simplify right side
   84,880x = 33,989,531,406.25
5. Step 5: Solve for x
   x = 33,989,531,406.25/84,880
6. Step 6: Final answer
   x = 400,442.17