Finding the Third Proportional to 84,746.25 and 188,078.63

Step by Step Solution

1. Step 1: Write the proportion equation
   84,746.25 : 188,078.63 = 188,078.63 : x
2. Step 2: Convert to fraction form
   84,746.25/188,078.63 = 188,078.63/x
3. Step 3: Cross multiply
   84,746.25x = 188,078.63 × 188,078.63
4. Step 4: Simplify right side
   84,746.25x = 35,373,569,181.89
5. Step 5: Solve for x
   x = 35,373,569,181.89/84,746.25
6. Step 6: Final answer
   x = 417,405.72